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74131296 = 2534391759
BaseRepresentation
bin1000110101100…
…10011101100000
312011111021000120
410122302131200
5122434200141
611204520240
71560051141
oct432623540
9164437016
1074131296
1138932a38
12209b0080
1312487095
149bb9ac8
156794c66
hex46b2760

74131296 has 48 divisors (see below), whose sum is σ = 195148800. Its totient is φ = 24640128.

The previous prime is 74131283. The next prime is 74131301. The reversal of 74131296 is 69213147.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41265 + ... + 43023.

It is an arithmetic number, because the mean of its divisors is an integer number (4065600).

Almost surely, 274131296 is an apocalyptic number.

It is an amenable number.

74131296 is an abundant number, since it is smaller than the sum of its proper divisors (121017504).

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

74131296 is a wasteful number, since it uses less digits than its factorization.

74131296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2211 (or 2203 counting only the distinct ones).

The product of its digits is 9072, while the sum is 33.

The square root of 74131296 is about 8609.9533099779. The cubic root of 74131296 is about 420.0817981271.

The spelling of 74131296 in words is "seventy-four million, one hundred thirty-one thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 439 878 1317 1756 1759 2634 3512 3518 5268 5277 7024 7036 10536 10554 14048 14072 21072 21108 28144 42144 42216 56288 84432 168864 772201 1544402 2316603 3088804 4633206 6177608 9266412 12355216 18532824 24710432 37065648 74131296