Search a number
-
+
56049664 = 21411311
BaseRepresentation
bin1101010111010…
…0000000000000
310220110121200111
43111310000000
5103322042124
65321201104
71250262046
oct325640000
9126417614
1056049664
1129702a40
1216930194
13b7c5ba8
147630396
154dc2494
hex3574000

56049664 has 60 divisors (see below), whose sum is σ = 122679648. Its totient is φ = 25395200.

The previous prime is 56049661. The next prime is 56049671. The reversal of 56049664 is 46694065.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56049661) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 180069 + ... + 180379.

Almost surely, 256049664 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 56049664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61339824).

56049664 is an abundant number, since it is smaller than the sum of its proper divisors (66629984).

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

56049664 is an equidigital number, since it uses as much as digits as its factorization.

56049664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 40.

The square root of 56049664 is about 7486.6323537356. The cubic root of 56049664 is about 382.6993029154.

The spelling of 56049664 in words is "fifty-six million, forty-nine thousand, six hundred sixty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 311 352 512 622 704 1024 1244 1408 2048 2488 2816 3421 4096 4976 5632 6842 8192 9952 11264 13684 16384 19904 22528 27368 39808 45056 54736 79616 90112 109472 159232 180224 218944 318464 437888 636928 875776 1273856 1751552 2547712 3503104 5095424 7006208 14012416 28024832 56049664