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74801016 = 23333111171
BaseRepresentation
bin1000111010101…
…01111101111000
312012202021201000
410131111331320
5123122113031
611231125000
71565540523
oct435257570
9165667630
1074801016
1139250124
1221073760
131265cb74
149d11bba
1568783e6
hex4755f78

74801016 has 64 divisors (see below), whose sum is σ = 214502400. Its totient is φ = 24127200.

The previous prime is 74801009. The next prime is 74801039. The reversal of 74801016 is 61010847.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 1111 + ... + 12281.

It is an arithmetic number, because the mean of its divisors is an integer number (3351600).

Almost surely, 274801016 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 74801016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107251200).

74801016 is an abundant number, since it is smaller than the sum of its proper divisors (139701384).

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

74801016 is a wasteful number, since it uses less digits than its factorization.

74801016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11217 (or 11207 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 74801016 is about 8648.7580611322. The cubic root of 74801016 is about 421.3430476539.

The spelling of 74801016 in words is "seventy-four million, eight hundred one thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 31 36 54 62 72 93 108 124 186 216 248 279 372 558 744 837 1116 1674 2232 3348 6696 11171 22342 33513 44684 67026 89368 100539 134052 201078 268104 301617 346301 402156 603234 692602 804312 1038903 1206468 1385204 2077806 2412936 2770408 3116709 4155612 6233418 8311224 9350127 12466836 18700254 24933672 37400508 74801016