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8013056 = 28113277
BaseRepresentation
bin11110100100010100000000
3120002002211212
4132210110000
54022404211
6443425252
7125052452
oct36442400
916062755
108013056
114583367
122825228
13187736c
1410c82d2
15a8438b
hex7a4500

8013056 has 36 divisors (see below), whose sum is σ = 16194612. Its totient is φ = 3956736.

The previous prime is 8013043. The next prime is 8013101. The reversal of 8013056 is 6503108.

It can be written as a sum of positive squares in 2 ways, for example, as 614656 + 7398400 = 784^2 + 2720^2 .

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 28790 + ... + 29066.

Almost surely, 28013056 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 8013056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8097306).

8013056 is an abundant number, since it is smaller than the sum of its proper divisors (8181556).

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

8013056 is a wasteful number, since it uses less digits than its factorization.

8013056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 8013056 is about 2830.7341803850. The cubic root of 8013056 is about 200.1087408664.

The spelling of 8013056 in words is "eight million, thirteen thousand, fifty-six".

Divisors: 1 2 4 8 16 32 64 113 128 226 256 277 452 554 904 1108 1808 2216 3616 4432 7232 8864 14464 17728 28928 31301 35456 62602 70912 125204 250408 500816 1001632 2003264 4006528 8013056