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74989512 = 233213113709
BaseRepresentation
bin1000111100000…
…11111111001000
312020002212021100
410132003333020
5123144131022
611235141400
71600254213
oct436037710
9166085240
1074989512
1139369804
1221144860
13126c78c0
149d6077a
1568b41ac
hex4783fc8

74989512 has 96 divisors (see below), whose sum is σ = 220966200. Its totient is φ = 22837248.

The previous prime is 74989511. The next prime is 74989517. The reversal of 74989512 is 21598947.

It can be written as a sum of positive squares in 4 ways, for example, as 14243076 + 60746436 = 3774^2 + 7794^2 .

Its product of digits (181440) is a multiple of the sum of its prime divisors (840).

It is not an unprimeable number, because it can be changed into a prime (74989511) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 105414 + ... + 106122.

Almost surely, 274989512 is an apocalyptic number.

74989512 is a gapful number since it is divisible by the number (72) 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 74989512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110483100).

74989512 is an abundant number, since it is smaller than the sum of its proper divisors (145976688).

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

74989512 is a wasteful number, since it uses less digits than its factorization.

74989512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 847 (or 840 counting only the distinct ones).

The product of its digits is 181440, while the sum is 45.

The square root of 74989512 is about 8659.6484917114. The cubic root of 74989512 is about 421.6966741305.

The spelling of 74989512 in words is "seventy-four million, nine hundred eighty-nine thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 113 117 156 226 234 312 339 452 468 678 709 904 936 1017 1356 1418 1469 2034 2127 2712 2836 2938 4068 4254 4407 5672 5876 6381 8136 8508 8814 9217 11752 12762 13221 17016 17628 18434 25524 26442 27651 35256 36868 51048 52884 55302 73736 80117 82953 105768 110604 160234 165906 221208 240351 320468 331812 480702 640936 663624 721053 961404 1041521 1442106 1922808 2083042 2884212 3124563 4166084 5768424 6249126 8332168 9373689 12498252 18747378 24996504 37494756 74989512