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56764368 = 24332329197
BaseRepresentation
bin1101100010001…
…0011111010000
310221210221002000
43120202133100
5104012424433
65344354000
71256326533
oct330423720
9127727060
1056764368
112a050a01
1217015900
13b9b62ab
147778a1a
154eb4113
hex36227d0

56764368 has 160 divisors (see below), whose sum is σ = 176774400. Its totient is φ = 17385984.

The previous prime is 56764349. The next prime is 56764369. The reversal of 56764368 is 86346765.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56764369) 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, 288046 + ... + 288242.

It is an arithmetic number, because the mean of its divisors is an integer number (1104840).

Almost surely, 256764368 is an apocalyptic number.

56764368 is a gapful number since it is divisible by the number (58) 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 56764368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88387200).

56764368 is an abundant number, since it is smaller than the sum of its proper divisors (120010032).

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

56764368 is a wasteful number, since it uses less digits than its factorization.

56764368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 254 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The square root of 56764368 is about 7534.2131639608. The cubic root of 56764368 is about 384.3190707439.

The spelling of 56764368 in words is "fifty-six million, seven hundred sixty-four thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 29 36 46 48 54 58 69 72 87 92 108 116 138 144 174 184 197 207 216 232 261 276 348 368 394 414 432 464 522 552 591 621 667 696 783 788 828 1044 1104 1182 1242 1334 1392 1566 1576 1656 1773 2001 2088 2364 2484 2668 3132 3152 3312 3546 4002 4176 4531 4728 4968 5319 5336 5713 6003 6264 7092 8004 9062 9456 9936 10638 10672 11426 12006 12528 13593 14184 16008 17139 18009 18124 21276 22852 24012 27186 28368 32016 34278 36018 36248 40779 42552 45704 48024 51417 54372 68556 72036 72496 81558 85104 91408 96048 102834 108744 122337 131399 137112 144072 154251 163116 205668 217488 244674 262798 274224 288144 308502 326232 394197 411336 489348 525596 617004 652464 788394 822672 978696 1051192 1182591 1234008 1576788 1957392 2102384 2365182 2468016 3153576 3547773 4730364 6307152 7095546 9460728 14191092 18921456 28382184 56764368