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53590992 = 24371312269
BaseRepresentation
bin1100110001101…
…1101111010000
310201211201000120
43030123233100
5102204402432
65152350240
71220341650
oct314335720
9121751016
1053590992
1128283784
1215b45380
13b144a60
147190360
154a88c2c
hex331bbd0

53590992 has 80 divisors (see below), whose sum is σ = 170405760. Its totient is φ = 14132736.

The previous prime is 53590991. The next prime is 53591009. The reversal of 53590992 is 29909535.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53590991) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1767 + ... + 10502.

It is an arithmetic number, because the mean of its divisors is an integer number (2130072).

Almost surely, 253590992 is an apocalyptic number.

53590992 is a gapful number since it is divisible by the number (52) 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 53590992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85202880).

53590992 is an abundant number, since it is smaller than the sum of its proper divisors (116814768).

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

53590992 is a wasteful number, since it uses less digits than its factorization.

53590992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12300 (or 12294 counting only the distinct ones).

The product of its (nonzero) digits is 109350, while the sum is 42.

The square root of 53590992 is about 7320.5868617209. The cubic root of 53590992 is about 377.0196032369.

The spelling of 53590992 in words is "fifty-three million, five hundred ninety thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 52 56 78 84 91 104 112 156 168 182 208 273 312 336 364 546 624 728 1092 1456 2184 4368 12269 24538 36807 49076 73614 85883 98152 147228 159497 171766 196304 257649 294456 318994 343532 478491 515298 588912 637988 687064 956982 1030596 1116479 1275976 1374128 1913964 2061192 2232958 2551952 3349437 3827928 4122384 4465916 6698874 7655856 8931832 13397748 17863664 26795496 53590992