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56654080 = 28576323
BaseRepresentation
bin1101100000011…
…1100100000000
310221121022210021
43120013210000
5104000412310
65342143224
71255360150
oct330074400
9127538707
1056654080
1129a8605a
1216b81b14
13b978032
14774a760
154e915da
hex3607900

56654080 has 72 divisors (see below), whose sum is σ = 155115072. Its totient is φ = 19421184.

The previous prime is 56654041. The next prime is 56654089. The reversal of 56654080 is 8045665.

It is not an unprimeable number, because it can be changed into a prime (56654089) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5799 + ... + 12121.

It is an arithmetic number, because the mean of its divisors is an integer number (2154376).

Almost surely, 256654080 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 56654080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77557536).

56654080 is an abundant number, since it is smaller than the sum of its proper divisors (98460992).

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

56654080 is an equidigital number, since it uses as much as digits as its factorization.

56654080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6351 (or 6337 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 34.

The square root of 56654080 is about 7526.8904602100. The cubic root of 56654080 is about 384.0700103832.

The spelling of 56654080 in words is "fifty-six million, six hundred fifty-four thousand, eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 256 280 320 448 560 640 896 1120 1280 1792 2240 4480 6323 8960 12646 25292 31615 44261 50584 63230 88522 101168 126460 177044 202336 221305 252920 354088 404672 442610 505840 708176 809344 885220 1011680 1416352 1618688 1770440 2023360 2832704 3540880 4046720 5665408 7081760 8093440 11330816 14163520 28327040 56654080