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74440008 = 23321761997
BaseRepresentation
bin1000110111111…
…01110101001000
312012001221111100
410123331311020
5123024040013
611215301400
71562505156
oct433756510
9165057440
1074440008
1139023975
1220b1a860
1312564756
149c5a3d6
156806473
hex46fdd48

74440008 has 96 divisors (see below), whose sum is σ = 217184760. Its totient is φ = 22947840.

The previous prime is 74439979. The next prime is 74440039. The reversal of 74440008 is 80004447.

It can be written as a sum of positive squares in 4 ways, for example, as 65901924 + 8538084 = 8118^2 + 2922^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74166 + ... + 75162.

Almost surely, 274440008 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 74440008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108592380).

74440008 is an abundant number, since it is smaller than the sum of its proper divisors (142744752).

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

74440008 is a wasteful number, since it uses less digits than its factorization.

74440008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1087 (or 1080 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 74440008 is about 8627.8623076635. The cubic root of 74440008 is about 420.6641193846.

The spelling of 74440008 in words is "seventy-four million, four hundred forty thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 61 68 72 102 122 136 153 183 204 244 306 366 408 488 549 612 732 997 1037 1098 1224 1464 1994 2074 2196 2991 3111 3988 4148 4392 5982 6222 7976 8296 8973 9333 11964 12444 16949 17946 18666 23928 24888 33898 35892 37332 50847 60817 67796 71784 74664 101694 121634 135592 152541 182451 203388 243268 305082 364902 406776 486536 547353 610164 729804 1033889 1094706 1220328 1459608 2067778 2189412 3101667 4135556 4378824 6203334 8271112 9305001 12406668 18610002 24813336 37220004 74440008