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56055636 = 223271371241
BaseRepresentation
bin1101010111010…
…1011101010100
310220110220212200
43111311131110
5103322240021
65321244500
71250315340
oct325653524
9126426780
1056055636
112970747a
1216933730
13b7c8820
147632620
154dc4126
hex3575754

56055636 has 144 divisors (see below), whose sum is σ = 177585408. Its totient is φ = 14515200.

The previous prime is 56055619. The next prime is 56055653. The reversal of 56055636 is 63655065.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (56055619) and next prime (56055653).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 56055636.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 232476 + ... + 232716.

It is an arithmetic number, because the mean of its divisors is an integer number (1233232).

Almost surely, 256055636 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 56055636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88792704).

56055636 is an abundant number, since it is smaller than the sum of its proper divisors (121529772).

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

56055636 is a wasteful number, since it uses less digits than its factorization.

56055636 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 81000, while the sum is 36.

The square root of 56055636 is about 7487.0311873265. The cubic root of 56055636 is about 382.7128944275.

The spelling of 56055636 in words is "fifty-six million, fifty-five thousand, six hundred thirty-six".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 52 63 71 78 84 91 117 126 142 156 182 213 234 241 252 273 284 364 426 468 482 497 546 639 723 819 852 923 964 994 1092 1278 1446 1491 1638 1687 1846 1988 2169 2556 2769 2892 2982 3133 3276 3374 3692 4338 4473 5061 5538 5964 6266 6461 6748 8307 8676 8946 9399 10122 11076 12532 12922 15183 16614 17111 17892 18798 19383 20244 21931 25844 28197 30366 33228 34222 37596 38766 43862 51333 56394 58149 60732 65793 68444 77532 87724 102666 112788 116298 119777 131586 153999 197379 205332 222443 232596 239554 263172 307998 359331 394758 444886 479108 615996 667329 718662 789516 889772 1077993 1334658 1437324 1557101 2001987 2155986 2669316 3114202 4003974 4311972 4671303 6228404 8007948 9342606 14013909 18685212 28027818 56055636