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52861536 = 25327132017
BaseRepresentation
bin1100100110100…
…1101001100000
310200110122101200
43021221221200
5102013032121
65125001200
71211213160
oct311515140
9120418350
1052861536
1127925722
1215853200
13ac4aa20
1470405a0
154992a26
hex3269a60

52861536 has 144 divisors (see below), whose sum is σ = 185107104. Its totient is φ = 13934592.

The previous prime is 52861469. The next prime is 52861547. The reversal of 52861536 is 63516825.

52861536 is a `hidden beast` number, since 5 + 2 + 8 + 615 + 36 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 52861536.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 25200 + ... + 27216.

It is an arithmetic number, because the mean of its divisors is an integer number (1285466).

Almost surely, 252861536 is an apocalyptic number.

52861536 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 52861536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92553552).

52861536 is an abundant number, since it is smaller than the sum of its proper divisors (132245568).

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

52861536 is a wasteful number, since it uses less digits than its factorization.

52861536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2053 (or 2042 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The square root of 52861536 is about 7270.5939234701. The cubic root of 52861536 is about 375.3011767155.

The spelling of 52861536 in words is "fifty-two million, eight hundred sixty-one thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 28 32 36 39 42 48 52 56 63 72 78 84 91 96 104 112 117 126 144 156 168 182 208 224 234 252 273 288 312 336 364 416 468 504 546 624 672 728 819 936 1008 1092 1248 1456 1638 1872 2016 2017 2184 2912 3276 3744 4034 4368 6051 6552 8068 8736 12102 13104 14119 16136 18153 24204 26208 26221 28238 32272 36306 42357 48408 52442 56476 64544 72612 78663 84714 96816 104884 112952 127071 145224 157326 169428 183547 193632 209768 225904 235989 254142 290448 314652 338856 367094 419536 451808 471978 508284 550641 580896 629304 677712 734188 839072 943956 1016568 1101282 1258608 1355424 1468376 1651923 1887912 2033136 2202564 2517216 2936752 3303846 3775824 4066272 4405128 5873504 6607692 7551648 8810256 13215384 17620512 26430768 52861536