Saturday, February 10, 2018

Number of the day: 747250

Properties of the number 747250:

747250 = 2 × 53 × 72 × 61 is the 687217th composite number and is not squarefree.
747250 has 4 distinct prime factors, 48 divisors, 27 antidivisors and 252000 totatives.
747250 has a semiprime digit sum 25 in base 10.
747250 is the sum of 2 positive triangular numbers.
747250 is the difference of 2 positive pentagonal numbers in 13 ways.
747250 is the difference of 2 positive pentagonal pyramidal numbers in 1 way.
747250 = 4552 + 7352 = 772 + 8612 = 3152 + 8052 = 2312 + 8332 is the sum of 2 positive squares in 4 ways.
747250 = 952 + 1322 + 8492 is the sum of 3 positive squares.
7472502 = 3332002 + 6688502 = 1347502 + 7350002 = 3351602 + 6678702 = 5071502 + 5488002 = 1325942 + 7353922 = 764402 + 7433302 = 3848462 + 6405282 = 4483502 + 5978002 = 2092302 + 7173602 = 2630322 + 6994262 is the sum of 2 positive squares in 10 ways.
7472502 is the sum of 3 positive squares.
747250 is a proper divisor of 145130 - 1.
747250 is palindromic in (at least) base -96.

The number 747250 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequence (among others):

Sequence number and description below are taken from OEIS.
A201236: Number of ways to place 2 non-attacking wazirs on an n X n toroidal board.

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