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74083688 = 23721711117
BaseRepresentation
bin1000110101001…
…10110101101000
312011101211201022
410122212311220
5122431134223
611203512012
71556462300
oct432466550
9164354638
1074083688
1138900198
1220988608
131246b503
149ba6600
156785ac8
hex46a6d68

74083688 has 48 divisors (see below), whose sum is σ = 171106020. Its totient is φ = 29879808.

The previous prime is 74083687. The next prime is 74083693. The reversal of 74083688 is 88638047.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 73650724 + 432964 = 8582^2 + 658^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74083687) 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 11 ways as a sum of consecutive naturals, for example, 1106 + ... + 12222.

Almost surely, 274083688 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 74083688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85553010).

74083688 is an abundant number, since it is smaller than the sum of its proper divisors (97022332).

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

74083688 is a wasteful number, since it uses less digits than its factorization.

74083688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11154 (or 11143 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 44.

The square root of 74083688 is about 8607.1881587427. The cubic root of 74083688 is about 419.9918516938.

The spelling of 74083688 in words is "seventy-four million, eighty-three thousand, six hundred eighty-eight".

Divisors: 1 2 4 7 8 14 17 28 34 49 56 68 98 119 136 196 238 392 476 833 952 1666 3332 6664 11117 22234 44468 77819 88936 155638 188989 311276 377978 544733 622552 755956 1089466 1322923 1511912 2178932 2645846 4357864 5291692 9260461 10583384 18520922 37041844 74083688