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74791116 = 223229711009
BaseRepresentation
bin1000111010100…
…11100011001100
312012201210010100
410131103203030
5123121303431
611231011100
71565466621
oct435234314
9165653110
1074791116
1139243744
1221069a90
13126584ca
149d0c348
1568754e6
hex47538cc

74791116 has 72 divisors (see below), whose sum is σ = 198525600. Its totient is φ = 23708160.

The previous prime is 74791111. The next prime is 74791133. The reversal of 74791116 is 61119747.

It is a super-2 number, since 2×747911162 = 11187422065050912, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74791111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73620 + ... + 74628.

It is an arithmetic number, because the mean of its divisors is an integer number (2757300).

Almost surely, 274791116 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 74791116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99262800).

74791116 is an abundant number, since it is smaller than the sum of its proper divisors (123734484).

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

74791116 is a wasteful number, since it uses less digits than its factorization.

74791116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1119 (or 1114 counting only the distinct ones).

The product of its digits is 10584, while the sum is 36.

The square root of 74791116 is about 8648.1857056842. The cubic root of 74791116 is about 421.3244584223.

The spelling of 74791116 in words is "seventy-four million, seven hundred ninety-one thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 71 87 116 142 174 213 261 284 348 426 522 639 852 1009 1044 1278 2018 2059 2556 3027 4036 4118 6054 6177 8236 9081 12108 12354 18162 18531 24708 29261 36324 37062 58522 71639 74124 87783 117044 143278 175566 214917 263349 286556 351132 429834 526698 644751 859668 1053396 1289502 2077531 2579004 4155062 6232593 8310124 12465186 18697779 24930372 37395558 74791116