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74696256 = 26361601
BaseRepresentation
bin1000111001111…
…00011001000000
312012112222000000
410130330121000
5123110240011
611225000000
71564623225
oct434743100
9165488000
1074696256
1139189448
1221023000
131262428b
149cc594c
156857356
hex473c640

74696256 has 98 divisors (see below), whose sum is σ = 222375222. Its totient is φ = 24883200.

The previous prime is 74696243. The next prime is 74696287. The reversal of 74696256 is 65269647.

It can be written as a sum of positive squares in only one way, i.e., 74649600 + 46656 = 8640^2 + 216^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 45856 + ... + 47456.

Almost surely, 274696256 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 74696256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111187611).

74696256 is an abundant number, since it is smaller than the sum of its proper divisors (147678966).

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

74696256 is an equidigital number, since it uses as much as digits as its factorization.

74696256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1631 (or 1606 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The square root of 74696256 is about 8642.6995782568. The cubic root of 74696256 is about 421.1462565660.

The spelling of 74696256 in words is "seventy-four million, six hundred ninety-six thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 243 288 324 432 486 576 648 729 864 972 1296 1458 1601 1728 1944 2592 2916 3202 3888 4803 5184 5832 6404 7776 9606 11664 12808 14409 15552 19212 23328 25616 28818 38424 43227 46656 51232 57636 76848 86454 102464 115272 129681 153696 172908 230544 259362 307392 345816 389043 461088 518724 691632 778086 922176 1037448 1167129 1383264 1556172 2074896 2334258 2766528 3112344 4149792 4668516 6224688 8299584 9337032 12449376 18674064 24898752 37348128 74696256