Search a number
-
+
56640402 = 232713151229
BaseRepresentation
bin1101100000010…
…0001110010010
310221120122000200
43120010032102
5103444443102
65342000030
71255302240
oct330041622
9127518020
1056640402
1129a76855
1216b76016
13b971a40
147745790
154e8c51c
hex3604392

56640402 has 96 divisors (see below), whose sum is σ = 152705280. Its totient is φ = 14774400.

The previous prime is 56640383. The next prime is 56640407. The reversal of 56640402 is 20404665.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (56640407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 247224 + ... + 247452.

It is an arithmetic number, because the mean of its divisors is an integer number (1590680).

Almost surely, 256640402 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56640402, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76352640).

56640402 is an abundant number, since it is smaller than the sum of its proper divisors (96064878).

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

56640402 is a wasteful number, since it uses less digits than its factorization.

56640402 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 56640402 is about 7525.9817964170. The cubic root of 56640402 is about 384.0390992089.

The spelling of 56640402 in words is "fifty-six million, six hundred forty thousand, four hundred two".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 63 78 91 117 126 151 182 229 234 273 302 453 458 546 687 819 906 1057 1359 1374 1603 1638 1963 2061 2114 2718 2977 3171 3206 3926 4122 4809 5889 5954 6342 8931 9513 9618 11778 13741 14427 17667 17862 19026 20839 26793 27482 28854 34579 35334 41223 41678 53586 62517 69158 82446 103737 123669 125034 187551 207474 242053 247338 311211 375102 449527 484106 622422 726159 899054 1348581 1452318 2178477 2697162 3146689 4045743 4356954 6293378 8091486 9440067 18880134 28320201 56640402