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42516720 = 2432559051
BaseRepresentation
bin1010001000110…
…0000011110000
32222000001222100
42202030003300
541341013340
64115140400
71024246311
oct242140360
988001870
1042516720
1121aaa494
12122a4700
138a6822c
14590a608
153aec830
hex288c0f0

42516720 has 60 divisors (see below), whose sum is σ = 142787736. Its totient is φ = 11337600.

The previous prime is 42516709. The next prime is 42516743. The reversal of 42516720 is 2761524.

It is a tau number, because it is divible by the number of its divisors (60).

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, 28806 + ... + 30245.

Almost surely, 242516720 is an apocalyptic number.

42516720 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42516720 is an abundant number, since it is smaller than the sum of its proper divisors (100271016).

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

42516720 is a wasteful number, since it uses less digits than its factorization.

42516720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59070 (or 59061 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 42516720 is about 6520.4846445644. The cubic root of 42516720 is about 349.0223601791.

The spelling of 42516720 in words is "forty-two million, five hundred sixteen thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 59051 118102 177153 236204 295255 354306 472408 531459 590510 708612 885765 944816 1062918 1181020 1417224 1771530 2125836 2362040 2657295 2834448 3543060 4251672 4724080 5314590 7086120 8503344 10629180 14172240 21258360 42516720