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78836016 = 24371953233
BaseRepresentation
bin1001011001011…
…11000100110000
312111100021200110
410230233010300
5130140223031
611453421320
71645044420
oct454570460
9174307613
1078836016
1140556736
122249a840
131344363c
14a682480
156dc3c46
hex4b2f130

78836016 has 160 divisors (see below), whose sum is σ = 250698240. Its totient is φ = 20846592.

The previous prime is 78836003. The next prime is 78836027. The reversal of 78836016 is 61063887.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 338236 + ... + 338468.

It is an arithmetic number, because the mean of its divisors is an integer number (1566864).

Almost surely, 278836016 is an apocalyptic number.

78836016 is a gapful number since it is divisible by the number (76) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78836016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125349120).

78836016 is an abundant number, since it is smaller than the sum of its proper divisors (171862224).

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

78836016 is a wasteful number, since it uses less digits than its factorization.

78836016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 78836016 is about 8878.9648045254. The cubic root of 78836016 is about 428.7869470947.

The spelling of 78836016 in words is "seventy-eight million, eight hundred thirty-six thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 38 42 48 53 56 57 76 84 106 112 114 133 152 159 168 212 228 233 266 304 318 336 371 399 424 456 466 532 636 699 742 798 848 912 932 1007 1064 1113 1272 1398 1484 1596 1631 1864 2014 2128 2226 2544 2796 2968 3021 3192 3262 3728 4028 4427 4452 4893 5592 5936 6042 6384 6524 7049 8056 8854 8904 9786 11184 12084 12349 13048 13281 14098 16112 17708 17808 19572 21147 24168 24698 26096 26562 28196 30989 35416 37047 39144 42294 48336 49396 53124 56392 61978 70832 74094 78288 84588 86443 92967 98792 106248 112784 123956 148188 169176 172886 185934 197584 212496 234631 247912 259329 296376 338352 345772 371868 469262 495824 518658 592752 691544 703893 743736 938524 1037316 1383088 1407786 1487472 1642417 1877048 2074632 2815572 3284834 3754096 4149264 4927251 5631144 6569668 9854502 11262288 13139336 19709004 26278672 39418008 78836016