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32257956025 = 5217221132
BaseRepresentation
bin11110000010101110…
…010101100010111001
310002021010000221202001
4132002232111202321
51012031014043100
622452531541001
72221245050011
oct360256254271
9102233027661
1032257956025
1112753858899
12630315a761
133071109259
1417c0290c41
15c8be92d6a
hex782b958b9

32257956025 has 27 divisors (see below), whose sum is σ = 42511325511. Its totient is φ = 24276848640.

The previous prime is 32257956007. The next prime is 32257956047. The reversal of 32257956025 is 52065975223.

It is a happy number.

The square root of 32257956025 is 179605.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 31174492969 + 1083463056 = 176563^2 + 32916^2 .

It is not a de Polignac number, because 32257956025 - 25 = 32257955993 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 15265369 + ... + 15267481.

Almost surely, 232257956025 is an apocalyptic number.

32257956025 is the 179605-th square number.

32257956025 is the 89803-rd centered octagonal number.

It is an amenable number.

32257956025 is a deficient number, since it is larger than the sum of its proper divisors (10253369486).

32257956025 is an frugal number, since it uses more digits than its factorization.

32257956025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4270 (or 2135 counting only the distinct ones).

The product of its (nonzero) digits is 1134000, while the sum is 46.

The spelling of 32257956025 in words is "thirty-two billion, two hundred fifty-seven million, nine hundred fifty-six thousand, twenty-five".

Divisors: 1 5 17 25 85 289 425 1445 2113 7225 10565 35921 52825 179605 610657 898025 3053285 4464769 15266425 22323845 75901073 111619225 379505365 1290318241 1897526825 6451591205 32257956025