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56246652 = 2232711103197
BaseRepresentation
bin1101011010010…
…0000101111100
310220211121220100
43112210011330
5103344343102
65325321100
71252042260
oct326440574
9126747810
1056246652
1129827a40
1216a06190
13b864757
1476820a0
154e10a1c
hex35a417c

56246652 has 144 divisors (see below), whose sum is σ = 179891712. Its totient is φ = 14394240.

The previous prime is 56246611. The next prime is 56246653. The reversal of 56246652 is 25664265.

56246652 is a `hidden beast` number, since 562 + 46 + 6 + 52 = 666.

56246652 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-2 number, since 2×562466522 = 6327371722418208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56246653) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 285418 + ... + 285614.

It is an arithmetic number, because the mean of its divisors is an integer number (1249248).

Almost surely, 256246652 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 56246652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89945856).

56246652 is an abundant number, since it is smaller than the sum of its proper divisors (123645060).

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

56246652 is a wasteful number, since it uses less digits than its factorization.

56246652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 323 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The square root of 56246652 is about 7499.7767966787. The cubic root of 56246652 is about 383.1471142564.

The spelling of 56246652 in words is "fifty-six million, two hundred forty-six thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 63 66 77 84 99 103 126 132 154 197 198 206 231 252 308 309 394 396 412 462 591 618 693 721 788 924 927 1133 1182 1236 1379 1386 1442 1773 1854 2163 2167 2266 2364 2758 2772 2884 3399 3546 3708 4137 4326 4334 4532 5516 6489 6501 6798 7092 7931 8274 8652 8668 10197 12411 12978 13002 13596 15169 15862 16548 19503 20291 20394 23793 24822 25956 26004 30338 31724 39006 40582 40788 45507 47586 49644 60676 60873 71379 78012 81164 91014 95172 121746 136521 142037 142758 182028 182619 223201 243492 273042 284074 285516 365238 426111 446402 546084 568148 669603 730476 852222 892804 1278333 1339206 1562407 1704444 2008809 2556666 2678412 3124814 4017618 4687221 5113332 6249628 8035236 9374442 14061663 18748884 28123326 56246652