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42516128 = 253142859
BaseRepresentation
bin1010001000101…
…1111010100000
32222000001011102
42202023322200
541341004003
64115133532
71024244504
oct242137240
988001142
1042516128
1121aa9aa6
12122a42a8
138a67b95
14590a304
153aec588
hex288bea0

42516128 has 24 divisors (see below), whose sum is σ = 86405760. Its totient is φ = 20571840.

The previous prime is 42516119. The next prime is 42516157. The reversal of 42516128 is 82161524.

It is a super-2 number, since 2×425161282 = 3615242280224768, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 42516128.

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 3 ways as a sum of consecutive naturals, for example, 20438 + ... + 22421.

It is an arithmetic number, because the mean of its divisors is an integer number (3600240).

Almost surely, 242516128 is an apocalyptic number.

It is an amenable number.

42516128 is an abundant number, since it is smaller than the sum of its proper divisors (43889632).

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

42516128 is a wasteful number, since it uses less digits than its factorization.

42516128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42900 (or 42892 counting only the distinct ones).

The product of its digits is 3840, while the sum is 29.

The square root of 42516128 is about 6520.4392490077. The cubic root of 42516128 is about 349.0207402501.

The spelling of 42516128 in words is "forty-two million, five hundred sixteen thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 16 31 32 62 124 248 496 992 42859 85718 171436 342872 685744 1328629 1371488 2657258 5314516 10629032 21258064 42516128