Search a number
-
+
56318052 = 2237219712
BaseRepresentation
bin1101011011010…
…1100001100100
310220222020211210
43112311201210
5103404134202
65331031420
71252460400
oct326654144
9126866753
1056318052
112987664a
1216a3b570
13b88b0bb
1476a0100
154e26c6c
hex35b5864

56318052 has 108 divisors (see below), whose sum is σ = 163206960. Its totient is φ = 15029280.

The previous prime is 56318047. The next prime is 56318063. The reversal of 56318052 is 25081365.

56318052 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×563180523 (a number of 24 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 793177 + ... + 793247.

Almost surely, 256318052 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 56318052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81603480).

56318052 is an abundant number, since it is smaller than the sum of its proper divisors (106888908).

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

56318052 is a wasteful number, since it uses less digits than its factorization.

56318052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 56318052 is about 7504.5354286591. The cubic root of 56318052 is about 383.3091691552.

The spelling of 56318052 in words is "fifty-six million, three hundred eighteen thousand, fifty-two".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 49 57 71 76 84 98 114 133 142 147 196 213 228 266 284 294 399 426 497 532 588 798 852 931 994 1349 1491 1596 1862 1988 2698 2793 2982 3479 3724 4047 5041 5396 5586 5964 6958 8094 9443 10082 10437 11172 13916 15123 16188 18886 20164 20874 28329 30246 35287 37772 41748 56658 60492 66101 70574 95779 105861 113316 132202 141148 191558 198303 211722 247009 264404 287337 383116 396606 423444 494018 574674 670453 741027 793212 988036 1149348 1340906 1482054 2011359 2681812 2964108 4022718 4693171 8045436 9386342 14079513 18772684 28159026 56318052