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74397568 = 277431931
BaseRepresentation
bin1000110111100…
…11011110000000
312011222210021111
410123303132000
5123021210233
611214333104
71562240350
oct433633600
9164883244
1074397568
1138aa4aa3
1220aba194
131254b33b
149c48b60
1567e8acd
hex46f3780

74397568 has 64 divisors (see below), whose sum is σ = 173416320. Its totient is φ = 31127040.

The previous prime is 74397527. The next prime is 74397581. The reversal of 74397568 is 86579347.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent 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 7 ways as a sum of consecutive naturals, for example, 37563 + ... + 39493.

It is an arithmetic number, because the mean of its divisors is an integer number (2709630).

Almost surely, 274397568 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 74397568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86708160).

74397568 is an abundant number, since it is smaller than the sum of its proper divisors (99018752).

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

74397568 is a wasteful number, since it uses less digits than its factorization.

74397568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1995 (or 1983 counting only the distinct ones).

The product of its digits is 1270080, while the sum is 49.

The square root of 74397568 is about 8625.4024833627. The cubic root of 74397568 is about 420.5841606833.

The spelling of 74397568 in words is "seventy-four million, three hundred ninety-seven thousand, five hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 43 56 64 86 112 128 172 224 301 344 448 602 688 896 1204 1376 1931 2408 2752 3862 4816 5504 7724 9632 13517 15448 19264 27034 30896 38528 54068 61792 83033 108136 123584 166066 216272 247168 332132 432544 581231 664264 865088 1162462 1328528 1730176 2324924 2657056 4649848 5314112 9299696 10628224 18599392 37198784 74397568