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56438448 = 24311139769
BaseRepresentation
bin1101011101001…
…0111010110000
310221012100222220
43113102322300
5103422012243
65333401040
71253501403
oct327227260
9127170886
1056438448
1129949050
1216a99180
13b900b41
1476d1d3a
154e4c783
hex35d2eb0

56438448 has 80 divisors (see below), whose sum is σ = 160406400. Its totient is φ = 16957440.

The previous prime is 56438443. The next prime is 56438461. The reversal of 56438448 is 84483465.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (56438443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73008 + ... + 73776.

It is an arithmetic number, because the mean of its divisors is an integer number (2005080).

Almost surely, 256438448 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 56438448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80203200).

56438448 is an abundant number, since it is smaller than the sum of its proper divisors (103967952).

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

56438448 is a wasteful number, since it uses less digits than its factorization.

56438448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 930 (or 924 counting only the distinct ones).

The product of its digits is 368640, while the sum is 42.

The square root of 56438448 is about 7512.5526953227. The cubic root of 56438448 is about 383.5821191987.

The spelling of 56438448 in words is "fifty-six million, four hundred thirty-eight thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 139 176 264 278 417 528 556 769 834 1112 1529 1538 1668 2224 2307 3058 3076 3336 4587 4614 6116 6152 6672 8459 9174 9228 12232 12304 16918 18348 18456 24464 25377 33836 36696 36912 50754 67672 73392 101508 106891 135344 203016 213782 320673 406032 427564 641346 855128 1175801 1282692 1710256 2351602 2565384 3527403 4703204 5130768 7054806 9406408 14109612 18812816 28219224 56438448