Search a number
-
+
56790744 = 233171091277
BaseRepresentation
bin1101100010100…
…0111011011000
310221212021020220
43120220323120
5104014300434
65345120040
71256466453
oct330507330
9127767226
1056790744
112a0697aa
1217029020
13b9c52ba
14778449a
154ebbd49
hex3628ed8

56790744 has 64 divisors (see below), whose sum is σ = 151826400. Its totient is φ = 17639424.

The previous prime is 56790743. The next prime is 56790751. The reversal of 56790744 is 44709765.

56790744 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 56790696 and 56790705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56790743) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43834 + ... + 45110.

Almost surely, 256790744 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 56790744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75913200).

56790744 is an abundant number, since it is smaller than the sum of its proper divisors (95035656).

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

56790744 is a wasteful number, since it uses less digits than its factorization.

56790744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1412 (or 1408 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 42.

The square root of 56790744 is about 7535.9633757072. The cubic root of 56790744 is about 384.3785871302.

The spelling of 56790744 in words is "fifty-six million, seven hundred ninety thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 109 136 204 218 327 408 436 654 872 1277 1308 1853 2554 2616 3706 3831 5108 5559 7412 7662 10216 11118 14824 15324 21709 22236 30648 43418 44472 65127 86836 130254 139193 173672 260508 278386 417579 521016 556772 835158 1113544 1670316 2366281 3340632 4732562 7098843 9465124 14197686 18930248 28395372 56790744