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79124992 = 2929732
BaseRepresentation
bin1001011011101…
…01101000000000
312111212222002021
410231311220000
5130223444432
611503531224
71650360052
oct455655000
9174788067
1079124992
1140733861
12225b9b14
131351502b
14a7198d2
156e2e697
hex4b75a00

79124992 has 60 divisors (see below), whose sum is σ = 165818070. Its totient is φ = 37675008.

The previous prime is 79124977. The next prime is 79124993. The reversal of 79124992 is 29942197.

It can be written as a sum of positive squares in 3 ways, for example, as 71639296 + 7485696 = 8464^2 + 2736^2 .

It is not an unprimeable number, because it can be changed into a prime (79124993) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 1083868 + ... + 1083940.

Almost surely, 279124992 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 79124992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82909035).

79124992 is an abundant number, since it is smaller than the sum of its proper divisors (86693078).

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

79124992 is an frugal number, since it uses more digits than its factorization.

79124992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 104 counting only the distinct ones).

The product of its digits is 81648, while the sum is 43.

The square root of 79124992 is about 8895.2229876490. Note that the first 3 decimals coincide. The cubic root of 79124992 is about 429.3102191261.

The spelling of 79124992 in words is "seventy-nine million, one hundred twenty-four thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 16 29 32 58 64 73 116 128 146 232 256 292 464 512 584 928 1168 1856 2117 2336 3712 4234 4672 5329 7424 8468 9344 10658 14848 16936 18688 21316 33872 37376 42632 67744 85264 135488 154541 170528 270976 309082 341056 541952 618164 682112 1083904 1236328 1364224 2472656 2728448 4945312 9890624 19781248 39562496 79124992