Search a number
-
+
56696328 = 23331361331
BaseRepresentation
bin1101100001000…
…1111000001000
310221200110202000
43120101320020
5104003240303
65343111000
71255624263
oct330217010
9127613660
1056696328
112a004877
1216ba2460
13b991330
14775bcda
154e9dda3
hex3611e08

56696328 has 128 divisors (see below), whose sum is σ = 172905600. Its totient is φ = 17107200.

The previous prime is 56696257. The next prime is 56696329. The reversal of 56696328 is 82369665.

It is a happy number.

56696328 is a `hidden beast` number, since 5 + 6 + 6 + 9 + 632 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56696329) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 171123 + ... + 171453.

It is an arithmetic number, because the mean of its divisors is an integer number (1350825).

Almost surely, 256696328 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 56696328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86452800).

56696328 is an abundant number, since it is smaller than the sum of its proper divisors (116209272).

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

56696328 is a wasteful number, since it uses less digits than its factorization.

56696328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420 (or 410 counting only the distinct ones).

The product of its digits is 466560, while the sum is 45.

The square root of 56696328 is about 7529.6964082226. The cubic root of 56696328 is about 384.1654560426.

The spelling of 56696328 in words is "fifty-six million, six hundred ninety-six thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 61 72 78 104 108 117 122 156 183 216 234 244 312 331 351 366 468 488 549 662 702 732 793 936 993 1098 1324 1404 1464 1586 1647 1986 2196 2379 2648 2808 2979 3172 3294 3972 4303 4392 4758 5958 6344 6588 7137 7944 8606 8937 9516 11916 12909 13176 14274 17212 17874 19032 20191 21411 23832 25818 28548 34424 35748 38727 40382 42822 51636 57096 60573 71496 77454 80764 85644 103272 116181 121146 154908 161528 171288 181719 232362 242292 262483 309816 363438 464724 484584 524966 545157 726876 787449 929448 1049932 1090314 1453752 1574898 2099864 2180628 2362347 3149796 4361256 4724694 6299592 7087041 9449388 14174082 18898776 28348164 56696328