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56730024 = 23331389227
BaseRepresentation
bin1101100001101…
…0000110101000
310221202011222000
43120122012220
5104010330044
65343531000
71256124441
oct330320650
9127664860
1056730024
112a02811a
1216bb9a60
13b9a3780
14776a2c8
154ea8d69
hex361a1a8

56730024 has 128 divisors (see below), whose sum is σ = 172368000. Its totient is φ = 17183232.

The previous prime is 56730017. The next prime is 56730041. The reversal of 56730024 is 42003765.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 56730024.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 249799 + ... + 250025.

It is an arithmetic number, because the mean of its divisors is an integer number (1346625).

Almost surely, 256730024 is an apocalyptic number.

56730024 is a gapful number since it is divisible by the number (54) 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 56730024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86184000).

56730024 is an abundant number, since it is smaller than the sum of its proper divisors (115637976).

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

56730024 is a wasteful number, since it uses less digits than its factorization.

56730024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 56730024 is about 7531.9336162768. The cubic root of 56730024 is about 384.2415472466.

Adding to 56730024 its reverse (42003765), we get a palindrome (98733789).

The spelling of 56730024 in words is "fifty-six million, seven hundred thirty thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 89 104 108 117 156 178 216 227 234 267 312 351 356 454 468 534 681 702 712 801 908 936 1068 1157 1362 1404 1602 1816 2043 2136 2314 2403 2724 2808 2951 3204 3471 4086 4628 4806 5448 5902 6129 6408 6942 8172 8853 9256 9612 10413 11804 12258 13884 16344 17706 19224 20203 20826 23608 24516 26559 27768 31239 35412 40406 41652 49032 53118 60609 62478 70824 79677 80812 83304 106236 121218 124956 159354 161624 181827 212472 242436 249912 262639 318708 363654 484872 525278 545481 637416 727308 787917 1050556 1090962 1454616 1575834 2101112 2181924 2363751 3151668 4363848 4727502 6303336 7091253 9455004 14182506 18910008 28365012 56730024