Search a number
-
+
56405232 = 243213291039
BaseRepresentation
bin1101011100101…
…0110011110000
310221010200102200
43113022303300
5103414431412
65332543200
71253302512
oct327126360
9127120380
1056405232
11299260a4
1216a81b00
13b8bb9a0
1476c3bb2
154e429dc
hex35cacf0

56405232 has 120 divisors (see below), whose sum is σ = 176030400. Its totient is φ = 16740864.

The previous prime is 56405231. The next prime is 56405249. The reversal of 56405232 is 23250465.

It is a junction number, because it is equal to n+sod(n) for n = 56405196 and 56405205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56405231) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53769 + ... + 54807.

It is an arithmetic number, because the mean of its divisors is an integer number (1466920).

Almost surely, 256405232 is an apocalyptic number.

56405232 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56405232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88015200).

56405232 is an abundant number, since it is smaller than the sum of its proper divisors (119625168).

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

56405232 is a wasteful number, since it uses less digits than its factorization.

56405232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1095 (or 1086 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 56405232 is about 7510.3416699908. The cubic root of 56405232 is about 383.5068539351.

Adding to 56405232 its reverse (23250465), we get a palindrome (79655697).

The spelling of 56405232 in words is "fifty-six million, four hundred five thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 29 36 39 48 52 58 72 78 87 104 116 117 144 156 174 208 232 234 261 312 348 377 464 468 522 624 696 754 936 1039 1044 1131 1392 1508 1872 2078 2088 2262 3016 3117 3393 4156 4176 4524 6032 6234 6786 8312 9048 9351 12468 13507 13572 16624 18096 18702 24936 27014 27144 30131 37404 40521 49872 54028 54288 60262 74808 81042 90393 108056 120524 121563 149616 162084 180786 216112 241048 243126 271179 324168 361572 391703 482096 486252 542358 648336 723144 783406 972504 1084716 1175109 1446288 1566812 1945008 2169432 2350218 3133624 3525327 4338864 4700436 6267248 7050654 9400872 14101308 18801744 28202616 56405232