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968097825 = 34521912503
BaseRepresentation
bin111001101101000…
…000000000100001
32111110122110120000
4321231000000201
53440313112300
6240021410213
732663460432
oct7155000041
92443573500
10968097825
11457514252
12230269969
1312574a466
1492805489
1559ecdc00
hex39b40021

968097825 has 60 divisors (see below), whose sum is σ = 1803360768. Its totient is φ = 513410400.

The previous prime is 968097817. The next prime is 968097833. The reversal of 968097825 is 528790869.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (968097817) and next prime (968097833).

It is not a de Polignac number, because 968097825 - 23 = 968097817 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 385524 + ... + 388026.

Almost surely, 2968097825 is an apocalyptic number.

It is an amenable number.

968097825 is a deficient number, since it is larger than the sum of its proper divisors (835262943).

968097825 is a wasteful number, since it uses less digits than its factorization.

968097825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2716 (or 2702 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The square root of 968097825 is about 31114.2704397837. The cubic root of 968097825 is about 989.2508105992.

The spelling of 968097825 in words is "nine hundred sixty-eight million, ninety-seven thousand, eight hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 135 191 225 405 573 675 955 1719 2025 2503 2865 4775 5157 7509 8595 12515 14325 15471 22527 25785 37545 42975 62575 67581 77355 112635 128925 187725 202743 337905 386775 478073 563175 1013715 1434219 1689525 2390365 4302657 5068575 7171095 11951825 12907971 21513285 35855475 38723913 64539855 107566425 193619565 322699275 968097825