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56997024 = 253789953
BaseRepresentation
bin1101100101101…
…1010010100000
310222020202012220
43121123102200
5104042401044
65353351040
71261316040
oct331332240
9128222186
1056997024
112a19a787
1217108480
13ba68166
1477d9720
15500d019
hex365b4a0

56997024 has 96 divisors (see below), whose sum is σ = 173093760. Its totient is φ = 16084992.

The previous prime is 56996981. The next prime is 56997047. The reversal of 56997024 is 42079965.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59332 + ... + 60284.

It is an arithmetic number, because the mean of its divisors is an integer number (1803060).

Almost surely, 256997024 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 56997024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86546880).

56997024 is an abundant number, since it is smaller than the sum of its proper divisors (116096736).

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

56997024 is a wasteful number, since it uses less digits than its factorization.

56997024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1062 (or 1054 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 42.

The square root of 56997024 is about 7549.6373422834. The cubic root of 56997024 is about 384.8434152688.

The spelling of 56997024 in words is "fifty-six million, nine hundred ninety-seven thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 89 96 112 168 178 224 267 336 356 534 623 672 712 953 1068 1246 1424 1869 1906 2136 2492 2848 2859 3738 3812 4272 4984 5718 6671 7476 7624 8544 9968 11436 13342 14952 15248 19936 20013 22872 26684 29904 30496 40026 45744 53368 59808 80052 84817 91488 106736 160104 169634 213472 254451 320208 339268 508902 593719 640416 678536 1017804 1187438 1357072 1781157 2035608 2374876 2714144 3562314 4071216 4749752 7124628 8142432 9499504 14249256 18999008 28498512 56997024