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74999664 = 24323153317
BaseRepresentation
bin1000111100001…
…10011101110000
312020010101012100
410132012131300
5123144442124
611235300400
71600325625
oct436063560
9166111170
1074999664
11393763a3
122114a700
13126cc3cc
149d6434c
1568b71c9
hex4786770

74999664 has 120 divisors (see below), whose sum is σ = 221450112. Its totient is φ = 23662080.

The previous prime is 74999663. The next prime is 74999681. The reversal of 74999664 is 46699947.

74999664 is a `hidden beast` number, since 7 + 499 + 96 + 64 = 666.

It is a super-2 number, since 2×749996642 = 11249899200225792, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 74999664.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74999663) 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 23 ways as a sum of consecutive naturals, for example, 236434 + ... + 236750.

Almost surely, 274999664 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 74999664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110725056).

74999664 is an abundant number, since it is smaller than the sum of its proper divisors (146450448).

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

74999664 is a wasteful number, since it uses less digits than its factorization.

74999664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415 (or 406 counting only the distinct ones).

The product of its digits is 2939328, while the sum is 54.

The square root of 74999664 is about 8660.2346388536. The cubic root of 74999664 is about 421.7157028869.

The spelling of 74999664 in words is "seventy-four million, nine hundred ninety-nine thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 36 48 53 62 72 93 106 124 144 159 186 212 248 279 317 318 372 424 477 496 558 634 636 744 848 951 954 1116 1268 1272 1488 1643 1902 1908 2232 2536 2544 2853 3286 3804 3816 4464 4929 5072 5706 6572 7608 7632 9827 9858 11412 13144 14787 15216 16801 19654 19716 22824 26288 29481 29574 33602 39308 39432 45648 50403 58962 59148 67204 78616 78864 88443 100806 117924 118296 134408 151209 157232 176886 201612 235848 236592 268816 302418 353772 403224 471696 520831 604836 707544 806448 1041662 1209672 1415088 1562493 2083324 2419344 3124986 4166648 4687479 6249972 8333296 9374958 12499944 18749916 24999888 37499832 74999664