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56880288 = 25322331277
BaseRepresentation
bin1101100011111…
…0110010100000
310222000211002100
43120332302200
5104030132123
65351050400
71260321513
oct330766240
9128024070
1056880288
112a120003
1217070a00
13ba26c9a
1477a8d7a
154ed8643
hex363eca0

56880288 has 144 divisors (see below), whose sum is σ = 174859776. Its totient is φ = 17487360.

The previous prime is 56880287. The next prime is 56880323. The reversal of 56880288 is 88208865.

56880288 is a `hidden beast` number, since 568 + 8 + 0 + 2 + 88 = 666.

56880288 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (56880287) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 205206 + ... + 205482.

It is an arithmetic number, because the mean of its divisors is an integer number (1214304).

Almost surely, 256880288 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 56880288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87429888).

56880288 is an abundant number, since it is smaller than the sum of its proper divisors (117979488).

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

56880288 is a wasteful number, since it uses less digits than its factorization.

56880288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 45.

The square root of 56880288 is about 7541.9021473366. The cubic root of 56880288 is about 384.5805022067.

The spelling of 56880288 in words is "fifty-six million, eight hundred eighty thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 31 32 36 46 48 62 69 72 92 93 96 124 138 144 184 186 207 248 276 277 279 288 368 372 414 496 552 554 558 713 736 744 828 831 992 1104 1108 1116 1426 1488 1656 1662 2139 2208 2216 2232 2493 2852 2976 3312 3324 4278 4432 4464 4986 5704 6371 6417 6624 6648 8556 8587 8864 8928 9972 11408 12742 12834 13296 17112 17174 19113 19944 22816 25484 25668 25761 26592 34224 34348 38226 39888 50968 51336 51522 57339 68448 68696 76452 77283 79776 101936 102672 103044 114678 137392 152904 154566 197501 203872 205344 206088 229356 274784 305808 309132 395002 412176 458712 592503 611616 618264 790004 824352 917424 1185006 1236528 1580008 1777509 1834848 2370012 2473056 3160016 3555018 4740024 6320032 7110036 9480048 14220072 18960096 28440144 56880288