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54245856 = 253789907
BaseRepresentation
bin1100111011101…
…1100111100000
310210001222022210
43032323213200
5102341331411
65214402120
71226040120
oct316734740
9123058283
1054245856
1128690795
1216200340
13b313b52
1472c0c80
154b67ca6
hex33bb9e0

54245856 has 96 divisors (see below), whose sum is σ = 164747520. Its totient is φ = 15307776.

The previous prime is 54245843. The next prime is 54245887. The reversal of 54245856 is 65854245.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×542458562 = 5885225786345472, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59355 + ... + 60261.

It is an arithmetic number, because the mean of its divisors is an integer number (1716120).

Almost surely, 254245856 is an apocalyptic number.

54245856 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54245856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82373760).

54245856 is an abundant number, since it is smaller than the sum of its proper divisors (110501664).

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

54245856 is a wasteful number, since it uses less digits than its factorization.

54245856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1016 (or 1008 counting only the distinct ones).

The product of its digits is 192000, while the sum is 39.

The square root of 54245856 is about 7365.1786129055. The cubic root of 54245856 is about 378.5490746637.

The spelling of 54245856 in words is "fifty-four million, two hundred forty-five thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 89 96 112 168 178 224 267 336 356 534 623 672 712 907 1068 1246 1424 1814 1869 2136 2492 2721 2848 3628 3738 4272 4984 5442 6349 7256 7476 8544 9968 10884 12698 14512 14952 19047 19936 21768 25396 29024 29904 38094 43536 50792 59808 76188 80723 87072 101584 152376 161446 203168 242169 304752 322892 484338 565061 609504 645784 968676 1130122 1291568 1695183 1937352 2260244 2583136 3390366 3874704 4520488 6780732 7749408 9040976 13561464 18081952 27122928 54245856