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78992064 = 2633172689
BaseRepresentation
bin1001011010101…
…01001011000000
312111122012202000
410231111023000
5130210221224
611501024000
71646264364
oct455251300
9174565660
1078992064
11406529a8
1222555000
1313499688
14a6c32a4
156e050c9
hex4b552c0

78992064 has 112 divisors (see below), whose sum is σ = 245973600. Its totient is φ = 24772608.

The previous prime is 78992057. The next prime is 78992071. The reversal of 78992064 is 46029987.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (78992057) and next prime (78992071).

It is a zygodrome in base 12.

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 15 ways as a sum of consecutive naturals, for example, 28032 + ... + 30720.

Almost surely, 278992064 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 78992064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122986800).

78992064 is an abundant number, since it is smaller than the sum of its proper divisors (166981536).

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

78992064 is a wasteful number, since it uses less digits than its factorization.

78992064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2727 (or 2711 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 78992064 is about 8887.7479712242. The cubic root of 78992064 is about 429.0696742427.

The spelling of 78992064 in words is "seventy-eight million, nine hundred ninety-two thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 64 68 72 96 102 108 136 144 153 192 204 216 272 288 306 408 432 459 544 576 612 816 864 918 1088 1224 1632 1728 1836 2448 2689 3264 3672 4896 5378 7344 8067 9792 10756 14688 16134 21512 24201 29376 32268 43024 45713 48402 64536 72603 86048 91426 96804 129072 137139 145206 172096 182852 193608 258144 274278 290412 365704 387216 411417 516288 548556 580824 731408 774432 822834 1097112 1161648 1234251 1462816 1548864 1645668 2194224 2323296 2468502 2925632 3291336 4388448 4646592 4937004 6582672 8776896 9874008 13165344 19748016 26330688 39496032 78992064