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74418864 = 24313239499
BaseRepresentation
bin1000110111110…
…00101010110000
312012000212111020
410123320222300
5123022400424
611215015440
71562356422
oct433705260
9165025436
1074418864
1139009aa3
1220b0a580
1312557c40
149c52812
156800079
hex46f8ab0

74418864 has 80 divisors (see below), whose sum is σ = 208320000. Its totient is φ = 22756608.

The previous prime is 74418859. The next prime is 74418871. The reversal of 74418864 is 46881447.

It is a happy number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 148887 + ... + 149385.

It is an arithmetic number, because the mean of its divisors is an integer number (2604000).

Almost surely, 274418864 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 74418864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104160000).

74418864 is an abundant number, since it is smaller than the sum of its proper divisors (133901136).

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

74418864 is a wasteful number, since it uses less digits than its factorization.

74418864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 762 (or 756 counting only the distinct ones).

The product of its digits is 172032, while the sum is 42.

The square root of 74418864 is about 8626.6368881506. The cubic root of 74418864 is about 420.6242870210.

The spelling of 74418864 in words is "seventy-four million, four hundred eighteen thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 239 312 478 499 624 717 956 998 1434 1497 1912 1996 2868 2994 3107 3824 3992 5736 5988 6214 6487 7984 9321 11472 11976 12428 12974 18642 19461 23952 24856 25948 37284 38922 49712 51896 74568 77844 103792 119261 149136 155688 238522 311376 357783 477044 715566 954088 1431132 1550393 1908176 2862264 3100786 4651179 5724528 6201572 9302358 12403144 18604716 24806288 37209432 74418864