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56478720 = 210353677
BaseRepresentation
bin1101011101110…
…0110000000000
310221021102020110
43113130300000
5103424304340
65334311320
71254026664
oct327346000
9127242213
1056478720
1129976331
1216ab8540
13b91627c
1477028a4
154e59680
hex35dcc00

56478720 has 88 divisors (see below), whose sum is σ = 180692784. Its totient is φ = 15056896.

The previous prime is 56478707. The next prime is 56478727. The reversal of 56478720 is 2787465.

It is not an unprimeable number, because it can be changed into a prime (56478727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13522 + ... + 17198.

Almost surely, 256478720 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 56478720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90346392).

56478720 is an abundant number, since it is smaller than the sum of its proper divisors (124214064).

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

56478720 is a wasteful number, since it uses less digits than its factorization.

56478720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3705 (or 3687 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 39.

The square root of 56478720 is about 7515.2325313326. The cubic root of 56478720 is about 383.6733332963.

The spelling of 56478720 in words is "fifty-six million, four hundred seventy-eight thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1024 1280 1536 1920 2560 3072 3677 3840 5120 7354 7680 11031 14708 15360 18385 22062 29416 36770 44124 55155 58832 73540 88248 110310 117664 147080 176496 220620 235328 294160 352992 441240 470656 588320 705984 882480 941312 1176640 1411968 1764960 1882624 2353280 2823936 3529920 3765248 4706560 5647872 7059840 9413120 11295744 14119680 18826240 28239360 56478720