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42252336 = 24327167251
BaseRepresentation
bin1010000100101…
…1100000110000
32221111122022100
42201023200300
541304033321
64105340400
71022065440
oct241134060
987448270
1042252336
1121939895
1212197700
1389a4aa9
14587c120
153a99326
hex284b830

42252336 has 120 divisors (see below), whose sum is σ = 136491264. Its totient is φ = 11952000.

The previous prime is 42252323. The next prime is 42252337. The reversal of 42252336 is 63325224.

42252336 is a `hidden beast` number, since 422 + 5 + 233 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (42252337) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 168211 + ... + 168461.

Almost surely, 242252336 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 42252336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68245632).

42252336 is an abundant number, since it is smaller than the sum of its proper divisors (94238928).

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

42252336 is a wasteful number, since it uses less digits than its factorization.

42252336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439 (or 430 counting only the distinct ones).

The product of its digits is 8640, while the sum is 27.

The square root of 42252336 is about 6500.1796898240. The cubic root of 42252336 is about 348.2974072719.

It can be divided in two parts, 4225 and 2336, that added together give a 8-th power (6561 = 38).

The spelling of 42252336 in words is "forty-two million, two hundred fifty-two thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 167 168 251 252 334 336 501 502 504 668 753 1002 1004 1008 1169 1336 1503 1506 1757 2004 2008 2259 2338 2672 3006 3012 3507 3514 4008 4016 4518 4676 5271 6012 6024 7014 7028 8016 9036 9352 10521 10542 12024 12048 14028 14056 15813 18072 18704 21042 21084 24048 28056 28112 31626 36144 41917 42084 42168 56112 63252 83834 84168 84336 125751 126504 167668 168336 251502 253008 293419 335336 377253 503004 586838 670672 754506 880257 1006008 1173676 1509012 1760514 2012016 2347352 2640771 3018024 3521028 4694704 5281542 6036048 7042056 10563084 14084112 21126168 42252336