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74185056 = 25321123417
BaseRepresentation
bin1000110101111…
…11100101100000
312011120222202200
410122333211200
5122442410211
611210013200
71560363651
oct432774540
9164528680
1074185056
113896a370
1220a17200
13124a56aa
149bd1528
1567a5b56
hex46bf960

74185056 has 72 divisors (see below), whose sum is σ = 230152104. Its totient is φ = 22479360.

The previous prime is 74185003. The next prime is 74185057. The reversal of 74185056 is 65058147.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 74185056.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74185057) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8541 + ... + 14876.

It is an arithmetic number, because the mean of its divisors is an integer number (3196557).

Almost surely, 274185056 is an apocalyptic number.

It is an amenable number.

74185056 is an abundant number, since it is smaller than the sum of its proper divisors (155967048).

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

74185056 is a wasteful number, since it uses less digits than its factorization.

74185056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23444 (or 23433 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 74185056 is about 8613.0747123196. The cubic root of 74185056 is about 420.1833213329.

The spelling of 74185056 in words is "seventy-four million, one hundred eighty-five thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 198 264 288 352 396 528 792 1056 1584 3168 23417 46834 70251 93668 140502 187336 210753 257587 281004 374672 421506 515174 562008 749344 772761 843012 1030348 1124016 1545522 1686024 2060696 2248032 2318283 3091044 3372048 4121392 4636566 6182088 6744096 8242784 9273132 12364176 18546264 24728352 37092528 74185056