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56981904 = 243733461
BaseRepresentation
bin1101100101011…
…1100110010000
310222012222110220
43121113212100
5104041410104
65353153040
71261224000
oct331274620
9128188426
1056981904
112a18a391
12170bb780
13ba61305
1477d4000
1550087d9
hex3657990

56981904 has 80 divisors (see below), whose sum is σ = 171715200. Its totient is φ = 16275840.

The previous prime is 56981867. The next prime is 56981917. The reversal of 56981904 is 40918965.

56981904 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14734 + ... + 18194.

It is an arithmetic number, because the mean of its divisors is an integer number (2146440).

Almost surely, 256981904 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 56981904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85857600).

56981904 is an abundant number, since it is smaller than the sum of its proper divisors (114733296).

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

56981904 is a wasteful number, since it uses less digits than its factorization.

56981904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3493 (or 3473 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 42.

The square root of 56981904 is about 7548.6359032609. The cubic root of 56981904 is about 384.8093822226.

The spelling of 56981904 in words is "fifty-six million, nine hundred eighty-one thousand, nine hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 147 168 196 294 336 343 392 588 686 784 1029 1176 1372 2058 2352 2744 3461 4116 5488 6922 8232 10383 13844 16464 20766 24227 27688 41532 48454 55376 72681 83064 96908 145362 166128 169589 193816 290724 339178 387632 508767 581448 678356 1017534 1162896 1187123 1356712 2035068 2374246 2713424 3561369 4070136 4748492 7122738 8140272 9496984 14245476 18993968 28490952 56981904