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56369352 = 233131937257
BaseRepresentation
bin1101011100001…
…0000011001000
310221001212012210
43113002003020
5103412304402
65332105120
71253063064
oct327020310
9127055183
1056369352
1129901146
1216a651a0
13b8a8560
1476b4aa4
154e3706c
hex35c20c8

56369352 has 128 divisors (see below), whose sum is σ = 164707200. Its totient is φ = 15925248.

The previous prime is 56369351. The next prime is 56369353. The reversal of 56369352 is 25396365.

It is an interprime number because it is at equal distance from previous prime (56369351) and next prime (56369353).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 56369352.

It is not an unprimeable number, because it can be changed into a prime (56369351) 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, 219208 + ... + 219464.

It is an arithmetic number, because the mean of its divisors is an integer number (1286775).

Almost surely, 256369352 is an apocalyptic number.

56369352 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 56369352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82353600).

56369352 is an abundant number, since it is smaller than the sum of its proper divisors (108337848).

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

56369352 is a wasteful number, since it uses less digits than its factorization.

56369352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335 (or 331 counting only the distinct ones).

The product of its digits is 145800, while the sum is 39.

The square root of 56369352 is about 7507.9525837608. The cubic root of 56369352 is about 383.4255190178.

The spelling of 56369352 in words is "fifty-six million, three hundred sixty-nine thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 19 24 26 37 38 39 52 57 74 76 78 104 111 114 148 152 156 222 228 247 257 296 312 444 456 481 494 514 703 741 771 888 962 988 1028 1406 1443 1482 1542 1924 1976 2056 2109 2812 2886 2964 3084 3341 3848 4218 4883 5624 5772 5928 6168 6682 8436 9139 9509 9766 10023 11544 13364 14649 16872 18278 19018 19532 20046 26728 27417 28527 29298 36556 38036 39064 40092 54834 57054 58596 63479 73112 76072 80184 109668 114108 117192 123617 126958 180671 190437 219336 228216 247234 253916 361342 370851 380874 494468 507832 542013 722684 741702 761748 988936 1084026 1445368 1483404 1523496 2168052 2348723 2966808 4336104 4697446 7046169 9394892 14092338 18789784 28184676 56369352