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74085256 = 23751929
BaseRepresentation
bin1000110101001…
…11001110001000
312011101220212101
410122213032020
5122431212011
611203523144
71556500000
oct432471610
9164356771
1074085256
1138901393
12209894b4
131246c13b
149ba7000
1567862c1
hex46a7388

74085256 has 96 divisors (see below), whose sum is σ = 176472000. Its totient is φ = 29042496.

The previous prime is 74085251. The next prime is 74085287. The reversal of 74085256 is 65258047.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (74085251) 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, 2554650 + ... + 2554678.

It is an arithmetic number, because the mean of its divisors is an integer number (1838250).

Almost surely, 274085256 is an apocalyptic number.

74085256 is a gapful number since it is divisible by the number (76) 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 74085256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88236000).

74085256 is an abundant number, since it is smaller than the sum of its proper divisors (102386744).

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

74085256 is an equidigital number, since it uses as much as digits as its factorization.

74085256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 37.

The square root of 74085256 is about 8607.2792449182. The cubic root of 74085256 is about 419.9948147508.

The spelling of 74085256 in words is "seventy-four million, eighty-five thousand, two hundred fifty-six".

Divisors: 1 2 4 7 8 14 19 28 29 38 49 56 58 76 98 116 133 152 196 203 232 266 343 392 406 532 551 686 812 931 1064 1102 1372 1421 1624 1862 2204 2401 2744 2842 3724 3857 4408 4802 5684 6517 7448 7714 9604 9947 11368 13034 15428 16807 19208 19894 26068 26999 30856 33614 39788 45619 52136 53998 67228 69629 79576 91238 107996 134456 139258 182476 188993 215992 278516 319333 364952 377986 487403 557032 638666 755972 974806 1277332 1322951 1511944 1949612 2554664 2645902 3899224 5291804 9260657 10583608 18521314 37042628 74085256