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42253596 = 22337115081
BaseRepresentation
bin1010000100101…
…1110100011100
32221111201001000
42201023310130
541304103341
64105350300
71022102220
oct241136434
987451030
1042253596
112193a830
1212198390
1389a5538
14587c780
153a998b6
hex284bd1c

42253596 has 96 divisors (see below), whose sum is σ = 136604160. Its totient is φ = 10972800.

The previous prime is 42253579. The next prime is 42253597. The reversal of 42253596 is 69535224.

42253596 is a `hidden beast` number, since 42 + 25 + 3 + 596 = 666.

It is a Smith number, since the sum of its digits (36) 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 (36).

It is a self number, because there is not a number n which added to its sum of digits gives 42253596.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42253597) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5776 + ... + 10856.

It is an arithmetic number, because the mean of its divisors is an integer number (1422960).

Almost surely, 242253596 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 42253596, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68302080).

42253596 is an abundant number, since it is smaller than the sum of its proper divisors (94350564).

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

42253596 is a wasteful number, since it uses less digits than its factorization.

42253596 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5112 (or 5104 counting only the distinct ones).

The product of its digits is 64800, while the sum is 36.

The square root of 42253596 is about 6500.2766094990. The cubic root of 42253596 is about 348.3008694108.

42253596 divided by its sum of digits (36) gives a palindrome (1173711).

It can be divided in two parts, 42253 and 596, that added together give a square (42849 = 2072).

The spelling of 42253596 in words is "forty-two million, two hundred fifty-three thousand, five hundred ninety-six".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 27 28 33 36 42 44 54 63 66 77 84 99 108 126 132 154 189 198 231 252 297 308 378 396 462 594 693 756 924 1188 1386 2079 2772 4158 5081 8316 10162 15243 20324 30486 35567 45729 55891 60972 71134 91458 106701 111782 137187 142268 167673 182916 213402 223564 274374 320103 335346 391237 426804 503019 548748 640206 670692 782474 960309 1006038 1173711 1280412 1509057 1564948 1920618 2012076 2347422 3018114 3521133 3841236 4694844 6036228 7042266 10563399 14084532 21126798 42253596