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96808704 = 283233541
BaseRepresentation
bin1011100010100…
…10111100000000
320202011101120120
411301102330000
5144240334304
613334540240
72253601056
oct561227400
9222141516
1096808704
114a7118a3
1228507680
1317097075
14cc001d6
1587740d9
hex5c52f00

96808704 has 72 divisors (see below), whose sum is σ = 259236432. Its totient is φ = 32071680.

The previous prime is 96808697. The next prime is 96808717. The reversal of 96808704 is 40780869.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 178674 + ... + 179214.

It is an arithmetic number, because the mean of its divisors is an integer number (3600506).

Almost surely, 296808704 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 96808704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129618216).

96808704 is an abundant number, since it is smaller than the sum of its proper divisors (162427728).

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

96808704 is a wasteful number, since it uses less digits than its factorization.

96808704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 793 (or 779 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 96808704 is about 9839.1414259579. The cubic root of 96808704 is about 459.1678464943.

The spelling of 96808704 in words is "ninety-six million, eight hundred eight thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 233 256 384 466 541 699 768 932 1082 1398 1623 1864 2164 2796 3246 3728 4328 5592 6492 7456 8656 11184 12984 14912 17312 22368 25968 29824 34624 44736 51936 59648 69248 89472 103872 126053 138496 178944 207744 252106 378159 415488 504212 756318 1008424 1512636 2016848 3025272 4033696 6050544 8067392 12101088 16134784 24202176 32269568 48404352 96808704