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968978408 = 232331257661
BaseRepresentation
bin111001110000010…
…110111111101000
32111112022012111012
4321300112333220
53441024302113
6240052323052
733004115636
oct7160267750
92445265435
10968978408
11457a65902
12230613488
13125998208
1492994356
155a104aa8
hex39c16fe8

968978408 has 64 divisors (see below), whose sum is σ = 1967569920. Its totient is φ = 446054400.

The previous prime is 968978407. The next prime is 968978429. The reversal of 968978408 is 804879869.

It is not an unprimeable number, because it can be changed into a prime (968978401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1465598 + ... + 1466258.

It is an arithmetic number, because the mean of its divisors is an integer number (30743280).

Almost surely, 2968978408 is an apocalyptic number.

It is an amenable number.

968978408 is an abundant number, since it is smaller than the sum of its proper divisors (998591512).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

968978408 is a wasteful number, since it uses less digits than its factorization.

968978408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 978 (or 974 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 59.

The square root of 968978408 is about 31128.4180131275. The cubic root of 968978408 is about 989.5506609636.

The spelling of 968978408 in words is "nine hundred sixty-eight million, nine hundred seventy-eight thousand, four hundred eight".

Divisors: 1 2 4 8 23 31 46 62 92 124 184 248 257 514 661 713 1028 1322 1426 2056 2644 2852 5288 5704 5911 7967 11822 15203 15934 20491 23644 30406 31868 40982 47288 60812 63736 81964 121624 163928 169877 183241 339754 366482 471293 679508 732964 942586 1359016 1465928 1885172 3770344 3907171 5266187 7814342 10532374 15628684 21064748 31257368 42129496 121122301 242244602 484489204 968978408