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56930544 = 243211127283
BaseRepresentation
bin1101100100101…
…1000011110000
310222010101000200
43121023003300
5104033234134
65352115200
71260621156
oct331130360
9128111020
1056930544
112a154840
1217095b00
13ba43b18
1477bd3d6
154ee8499
hex364b0f0

56930544 has 120 divisors (see below), whose sum is σ = 175798272. Its totient is φ = 17055360.

The previous prime is 56930519. The next prime is 56930551. The reversal of 56930544 is 44503965.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 56930499 and 56930508.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 201027 + ... + 201309.

Almost surely, 256930544 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 56930544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87899136).

56930544 is an abundant number, since it is smaller than the sum of its proper divisors (118867728).

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

56930544 is a wasteful number, since it uses less digits than its factorization.

56930544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 435 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 56930544 is about 7545.2331971915. The cubic root of 56930544 is about 384.6937329292.

It can be divided in two parts, 569 and 30544, that added together give a palindrome (31113).

The spelling of 56930544 in words is "fifty-six million, nine hundred thirty thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 127 132 144 176 198 254 264 283 381 396 508 528 566 762 792 849 1016 1132 1143 1397 1524 1584 1698 2032 2264 2286 2547 2794 3048 3113 3396 4191 4528 4572 5094 5588 6096 6226 6792 8382 9144 9339 10188 11176 12452 12573 13584 16764 18288 18678 20376 22352 24904 25146 28017 33528 35941 37356 40752 49808 50292 56034 67056 71882 74712 100584 107823 112068 143764 149424 201168 215646 224136 287528 323469 395351 431292 448272 575056 646938 790702 862584 1186053 1293876 1581404 1725168 2372106 2587752 3162808 3558159 4744212 5175504 6325616 7116318 9488424 14232636 18976848 28465272 56930544