Search a number
-
+
56999232 = 2632175821
BaseRepresentation
bin1101100101101…
…1110101000000
310222020212020200
43121123311000
5104042433412
65353405200
71261325343
oct331336500
9128225220
1056999232
112a1a1404
1217109800
13ba69174
1477da45a
15500d9dc
hex365bd40

56999232 has 84 divisors (see below), whose sum is σ = 173018196. Its totient is φ = 17879040.

The previous prime is 56999207. The next prime is 56999233. The reversal of 56999232 is 23299965.

56999232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 47114496 + 9884736 = 6864^2 + 3144^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56999233) 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 11 ways as a sum of consecutive naturals, for example, 6882 + ... + 12702.

Almost surely, 256999232 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 56999232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86509098).

56999232 is an abundant number, since it is smaller than the sum of its proper divisors (116018964).

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

56999232 is a wasteful number, since it uses less digits than its factorization.

56999232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5856 (or 5843 counting only the distinct ones).

The product of its digits is 262440, while the sum is 45.

The square root of 56999232 is about 7549.7835730569. The cubic root of 56999232 is about 384.8483846703.

The spelling of 56999232 in words is "fifty-six million, nine hundred ninety-nine thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 96 102 136 144 153 192 204 272 288 306 408 544 576 612 816 1088 1224 1632 2448 3264 4896 5821 9792 11642 17463 23284 34926 46568 52389 69852 93136 98957 104778 139704 186272 197914 209556 279408 296871 372544 395828 419112 558816 593742 791656 838224 890613 1117632 1187484 1583312 1676448 1781226 2374968 3166624 3352896 3562452 4749936 6333248 7124904 9499872 14249808 18999744 28499616 56999232