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53102256 = 24331127281
BaseRepresentation
bin1100101010010…
…0011010110000
310200220212121020
43022210122300
5102043233011
65134055440
71213235034
oct312443260
9120825536
1053102256
1127a7a569
121594a580
13b00346c
1470a41c4
1549de006
hex32a46b0

53102256 has 80 divisors (see below), whose sum is σ = 143228928. Its totient is φ = 16934400.

The previous prime is 53102233. The next prime is 53102263. The reversal of 53102256 is 65220135.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 188836 + ... + 189116.

Almost surely, 253102256 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 53102256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71614464).

53102256 is an abundant number, since it is smaller than the sum of its proper divisors (90126672).

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

53102256 is a wasteful number, since it uses less digits than its factorization.

53102256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 53102256 is about 7287.1294760008. The cubic root of 53102256 is about 375.8699942879.

The spelling of 53102256 in words is "fifty-three million, one hundred two thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 124 127 186 248 254 281 372 381 496 508 562 744 762 843 1016 1124 1488 1524 1686 2032 2248 3048 3372 3937 4496 6096 6744 7874 8711 11811 13488 15748 17422 23622 26133 31496 34844 35687 47244 52266 62992 69688 71374 94488 104532 107061 139376 142748 188976 209064 214122 285496 418128 428244 570992 856488 1106297 1712976 2212594 3318891 4425188 6637782 8850376 13275564 17700752 26551128 53102256