Search a number
-
+
56344640 = 2651116007
BaseRepresentation
bin1101011011110…
…0000001000000
310221000121022112
43112330001000
5103411012030
65331354452
71252631042
oct326740100
9127017275
1056344640
1129894620
1216a52a28
13b89a231
1476a9a92
154e2ea95
hex35bc040

56344640 has 56 divisors (see below), whose sum is σ = 146377152. Its totient is φ = 20487680.

The previous prime is 56344601. The next prime is 56344657. The reversal of 56344640 is 4644365.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 56344597 and 56344606.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4484 + ... + 11523.

Almost surely, 256344640 is an apocalyptic number.

It is an amenable number.

56344640 is an abundant number, since it is smaller than the sum of its proper divisors (90032512).

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

56344640 is a wasteful number, since it uses less digits than its factorization.

56344640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16035 (or 16025 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 32.

The square root of 56344640 is about 7506.3066817177. The cubic root of 56344640 is about 383.3694803133.

The spelling of 56344640 in words is "fifty-six million, three hundred forty-four thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 160 176 220 320 352 440 704 880 1760 3520 16007 32014 64028 80035 128056 160070 176077 256112 320140 352154 512224 640280 704308 880385 1024448 1280560 1408616 1760770 2561120 2817232 3521540 5122240 5634464 7043080 11268928 14086160 28172320 56344640