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74369568 = 2537138513
BaseRepresentation
bin1000110111011…
…00101000100000
312011221100212110
410123230220200
5123014311233
611213555320
71562062620
oct433545040
9164840773
1074369568
1138a85a59
1220aa5b40
131253b680
149c3c880
1567e0663
hex46eca20

74369568 has 96 divisors (see below), whose sum is σ = 240299136. Its totient is φ = 19611648.

The previous prime is 74369551. The next prime is 74369597. The reversal of 74369568 is 86596347.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 4480 + ... + 12992.

It is an arithmetic number, because the mean of its divisors is an integer number (2503116).

Almost surely, 274369568 is an apocalyptic number.

74369568 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74369568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120149568).

74369568 is an abundant number, since it is smaller than the sum of its proper divisors (165929568).

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

74369568 is a wasteful number, since it uses less digits than its factorization.

74369568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8546 (or 8538 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 48.

The square root of 74369568 is about 8623.7792179531. The cubic root of 74369568 is about 420.5313908841.

The spelling of 74369568 in words is "seventy-four million, three hundred sixty-nine thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 78 84 91 96 104 112 156 168 182 208 224 273 312 336 364 416 546 624 672 728 1092 1248 1456 2184 2912 4368 8513 8736 17026 25539 34052 51078 59591 68104 102156 110669 119182 136208 178773 204312 221338 238364 272416 332007 357546 408624 442676 476728 664014 715092 774683 817248 885352 953456 1328028 1430184 1549366 1770704 1906912 2324049 2656056 2860368 3098732 3541408 4648098 5312112 5720736 6197464 9296196 10624224 12394928 18592392 24789856 37184784 74369568