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56973488 = 24111337673
BaseRepresentation
bin1101100101010…
…1100010110000
310222012112221012
43121111202300
5104041122423
65353050052
71261160315
oct331254260
9128175835
1056973488
112a184030
12170b6928
13ba5a530
1477d0d0c
155006078
hex36558b0

56973488 has 80 divisors (see below), whose sum is σ = 133387296. Its totient is φ = 23224320.

The previous prime is 56973481. The next prime is 56973491. The reversal of 56973488 is 88437965.

It is a super-2 number, since 2×569734882 = 6491956669772288, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (56973481) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84320 + ... + 84992.

Almost surely, 256973488 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 56973488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66693648).

56973488 is an abundant number, since it is smaller than the sum of its proper divisors (76413808).

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

56973488 is a wasteful number, since it uses less digits than its factorization.

56973488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 742 (or 736 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 50.

The square root of 56973488 is about 7548.0784309651. The cubic root of 56973488 is about 384.7904363527.

The spelling of 56973488 in words is "fifty-six million, nine hundred seventy-three thousand, four hundred eighty-eight".

Divisors: 1 2 4 8 11 13 16 22 26 37 44 52 74 88 104 143 148 176 208 286 296 407 481 572 592 673 814 962 1144 1346 1628 1924 2288 2692 3256 3848 5291 5384 6512 7403 7696 8749 10582 10768 14806 17498 21164 24901 29612 34996 42328 49802 59224 69992 84656 96239 99604 118448 139984 192478 199208 273911 323713 384956 398416 547822 647426 769912 1095644 1294852 1539824 2191288 2589704 3560843 4382576 5179408 7121686 14243372 28486744 56973488