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42568272 = 24321717389
BaseRepresentation
bin1010001001100…
…0101001010000
32222002200200200
42202120221100
541344141042
64120215200
71024552515
oct242305120
988080620
1042568272
112203519a
121230a500
138a85836
14592130c
153b0cc4c
hex2898a50

42568272 has 60 divisors (see below), whose sum is σ = 126147060. Its totient is φ = 13353984.

The previous prime is 42568243. The next prime is 42568283. The reversal of 42568272 is 27286524.

It can be written as a sum of positive squares in 2 ways, for example, as 30206016 + 12362256 = 5496^2 + 3516^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6247 + ... + 11142.

It is an arithmetic number, because the mean of its divisors is an integer number (2102451).

Almost surely, 242568272 is an apocalyptic number.

It is an amenable number.

42568272 is an abundant number, since it is smaller than the sum of its proper divisors (83578788).

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

42568272 is a wasteful number, since it uses less digits than its factorization.

42568272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17420 (or 17411 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 42568272 is about 6524.4365273945. The cubic root of 42568272 is about 349.1633677125.

The spelling of 42568272 in words is "forty-two million, five hundred sixty-eight thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 72 102 136 144 153 204 272 306 408 612 816 1224 2448 17389 34778 52167 69556 104334 139112 156501 208668 278224 295613 313002 417336 591226 626004 834672 886839 1182452 1252008 1773678 2364904 2504016 2660517 3547356 4729808 5321034 7094712 10642068 14189424 21284136 42568272