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256038496 = 2571771947
BaseRepresentation
bin11110100001011…
…01011001100000
3122211210002210021
433100231121200
51011021212441
641223443224
76226201630
oct1720553140
9584702707
10256038496
1112158856a
12718b6514
134107808c
142600c6c0
15177283d1
hexf42d660

256038496 has 96 divisors (see below), whose sum is σ = 619218432. Its totient is φ = 101713920.

The previous prime is 256038473. The next prime is 256038511. The reversal of 256038496 is 694830652.

It is a super-2 number, since 2×2560384962 = 131111422867884032, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 269895 + ... + 270841.

It is an arithmetic number, because the mean of its divisors is an integer number (6450192).

Almost surely, 2256038496 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 256038496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309609216).

256038496 is an abundant number, since it is smaller than the sum of its proper divisors (363179936).

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

256038496 is a wasteful number, since it uses less digits than its factorization.

256038496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1052 (or 1044 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 43.

The square root of 256038496 is about 16001.2029547781. The cubic root of 256038496 is about 634.9922465832.

The spelling of 256038496 in words is "two hundred fifty-six million, thirty-eight thousand, four hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 68 71 112 119 136 142 224 238 272 284 476 497 544 568 947 952 994 1136 1207 1894 1904 1988 2272 2414 3788 3808 3976 4828 6629 7576 7952 8449 9656 13258 15152 15904 16099 16898 19312 26516 30304 32198 33796 38624 53032 64396 67237 67592 106064 112693 128792 134474 135184 212128 225386 257584 268948 270368 450772 470659 515168 537896 901544 941318 1075792 1143029 1803088 1882636 2151584 2286058 3606176 3765272 4572116 7530544 8001203 9144232 15061088 16002406 18288464 32004812 36576928 64009624 128019248 256038496