Search a number
-
+
56458944 = 263410891
BaseRepresentation
bin1101011101011…
…1111011000000
310221020102010000
43113113323000
5103423141234
65334040000
71253615223
oct327277300
9127212100
1056458944
1129962493
1216aa9000
13b90a279
1476d95ba
154e53899
hex35d7ec0

56458944 has 70 divisors (see below), whose sum is σ = 167377364. Its totient is φ = 18817920.

The previous prime is 56458943. The next prime is 56458949. The reversal of 56458944 is 44985465.

56458944 is a `hidden beast` number, since 5 + 64 + 589 + 4 + 4 = 666.

It is a super-2 number, since 2×564589442 = 6375224715190272, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 56458944.

It is not an unprimeable number, because it can be changed into a prime (56458943) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 262 + ... + 10629.

Almost surely, 256458944 is an apocalyptic number.

56458944 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 56458944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83688682).

56458944 is an abundant number, since it is smaller than the sum of its proper divisors (110918420).

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

56458944 is a wasteful number, since it uses less digits than its factorization.

56458944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10915 (or 10896 counting only the distinct ones).

The product of its digits is 691200, while the sum is 45.

The square root of 56458944 is about 7513.9166883856. The cubic root of 56458944 is about 383.6285470500.

The spelling of 56458944 in words is "fifty-six million, four hundred fifty-eight thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 1296 1728 2592 5184 10891 21782 32673 43564 65346 87128 98019 130692 174256 196038 261384 294057 348512 392076 522768 588114 697024 784152 882171 1045536 1176228 1568304 1764342 2091072 2352456 3136608 3528684 4704912 6273216 7057368 9409824 14114736 18819648 28229472 56458944