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5456256 = 273131093
BaseRepresentation
bin10100110100000110000000
3101021012120120
4110310012000
52344100011
6312540240
764243311
oct24640600
911235516
105456256
113097403
1219b1680
131190670
14a20608
1572ba06
hex534180

5456256 has 64 divisors (see below), whose sum is σ = 15622320. Its totient is φ = 1677312.

The previous prime is 5456237. The next prime is 5456273. The reversal of 5456256 is 6526545.

It is a happy number.

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

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4446 + ... + 5538.

Almost surely, 25456256 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 5456256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7811160).

5456256 is an abundant number, since it is smaller than the sum of its proper divisors (10166064).

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

5456256 is a wasteful number, since it uses less digits than its factorization.

5456256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1123 (or 1111 counting only the distinct ones).

The product of its digits is 36000, while the sum is 33.

The square root of 5456256 is about 2335.8630096819. The cubic root of 5456256 is about 176.0481961671.

The spelling of 5456256 in words is "five million, four hundred fifty-six thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 312 384 416 624 832 1093 1248 1664 2186 2496 3279 4372 4992 6558 8744 13116 14209 17488 26232 28418 34976 42627 52464 56836 69952 85254 104928 113672 139904 170508 209856 227344 341016 419712 454688 682032 909376 1364064 1818752 2728128 5456256