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78738816 = 2731315773
BaseRepresentation
bin1001011000101…
…11010110000000
312111011100100110
410230113112000
5130124120231
611451351320
71644161142
oct454272600
9174140313
1078738816
114049a702
1222452540
131340b320
14a658c92
156da5046
hex4b17580

78738816 has 64 divisors (see below), whose sum is σ = 225252720. Its totient is φ = 24225792.

The previous prime is 78738773. The next prime is 78738823. The reversal of 78738816 is 61883787.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×787388162 = 12399602290163712, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 2895 + ... + 12878.

Almost surely, 278738816 is an apocalyptic number.

It is an amenable number.

78738816 is an abundant number, since it is smaller than the sum of its proper divisors (146513904).

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

78738816 is a wasteful number, since it uses less digits than its factorization.

78738816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15803 (or 15791 counting only the distinct ones).

The product of its digits is 451584, while the sum is 48.

The square root of 78738816 is about 8873.4895052623. The cubic root of 78738816 is about 428.6106519022.

The spelling of 78738816 in words is "seventy-eight million, seven hundred thirty-eight thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 312 384 416 624 832 1248 1664 2496 4992 15773 31546 47319 63092 94638 126184 189276 205049 252368 378552 410098 504736 615147 757104 820196 1009472 1230294 1514208 1640392 2018944 2460588 3028416 3280784 4921176 6056832 6561568 9842352 13123136 19684704 26246272 39369408 78738816