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96978504 = 2337797307
BaseRepresentation
bin1011100011111…
…00011001001000
320202111000111110
411301330121020
5144311303004
613342330320
72255206110
oct561743110
9222430443
1096978504
114a818427
12285899a0
131712643c
14cc46040
1587a9589
hex5c7c648

96978504 has 64 divisors (see below), whose sum is σ = 280627200. Its totient is φ = 27353664.

The previous prime is 96978503. The next prime is 96978559. The reversal of 96978504 is 40587969.

It is not an unprimeable number, because it can be changed into a prime (96978503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9619 + ... + 16925.

It is an arithmetic number, because the mean of its divisors is an integer number (4384800).

Almost surely, 296978504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96978504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140313600).

96978504 is an abundant number, since it is smaller than the sum of its proper divisors (183648696).

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

96978504 is a wasteful number, since it uses less digits than its factorization.

96978504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7402 (or 7398 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 48.

The square root of 96978504 is about 9847.7664472712. The cubic root of 96978504 is about 459.4361459261.

The spelling of 96978504 in words is "ninety-six million, nine hundred seventy-eight thousand, five hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 79 84 158 168 237 316 474 553 632 948 1106 1659 1896 2212 3318 4424 6636 7307 13272 14614 21921 29228 43842 51149 58456 87684 102298 153447 175368 204596 306894 409192 577253 613788 1154506 1227576 1731759 2309012 3463518 4040771 4618024 6927036 8081542 12122313 13854072 16163084 24244626 32326168 48489252 96978504