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76695216 = 24313891381
BaseRepresentation
bin1001001001001…
…00011010110000
312100022112001120
410210210122300
5124113221331
611335502240
71620620133
oct444443260
9170275046
1076695216
113a324284
1221827980
1312b740b0
14a28621a
156aee796
hex49246b0

76695216 has 80 divisors (see below), whose sum is σ = 215923680. Its totient is φ = 23316480.

The previous prime is 76695167. The next prime is 76695233. The reversal of 76695216 is 61259667.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54846 + ... + 56226.

It is an arithmetic number, because the mean of its divisors is an integer number (2699046).

Almost surely, 276695216 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 76695216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107961840).

76695216 is an abundant number, since it is smaller than the sum of its proper divisors (139228464).

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

76695216 is a wasteful number, since it uses less digits than its factorization.

76695216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1494 (or 1488 counting only the distinct ones).

The product of its digits is 136080, while the sum is 42.

The square root of 76695216 is about 8757.5804877831. The cubic root of 76695216 is about 424.8700243834.

The spelling of 76695216 in words is "seventy-six million, six hundred ninety-five thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 89 104 156 178 208 267 312 356 534 624 712 1068 1157 1381 1424 2136 2314 2762 3471 4143 4272 4628 5524 6942 8286 9256 11048 13884 16572 17953 18512 22096 27768 33144 35906 53859 55536 66288 71812 107718 122909 143624 215436 245818 287248 368727 430872 491636 737454 861744 983272 1474908 1597817 1966544 2949816 3195634 4793451 5899632 6391268 9586902 12782536 19173804 25565072 38347608 76695216