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42216512 = 261350741
BaseRepresentation
bin1010000100001…
…0110001000000
32221102211011112
42201002301000
541301412022
64104502452
71021556132
oct241026100
987384145
1042216512
1121914988
121217aa28
1389916b0
14586d052
153a8d8e2
hex2842c40

42216512 has 28 divisors (see below), whose sum is σ = 90219276. Its totient is φ = 19484160.

The previous prime is 42216487. The next prime is 42216521. The reversal of 42216512 is 21561224.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 6885376 + 35331136 = 2624^2 + 5944^2 .

It is a super-2 number, since 2×422165122 = 3564467770892288, which contains 22 as substring.

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 24539 + ... + 26202.

It is an arithmetic number, because the mean of its divisors is an integer number (3222117).

Almost surely, 242216512 is an apocalyptic number.

It is an amenable number.

42216512 is an abundant number, since it is smaller than the sum of its proper divisors (48002764).

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

42216512 is a wasteful number, since it uses less digits than its factorization.

42216512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50766 (or 50756 counting only the distinct ones).

The product of its digits is 960, while the sum is 23.

The square root of 42216512 is about 6497.4234893533. The cubic root of 42216512 is about 348.1989438060.

Adding to 42216512 its reverse (21561224), we get a palindrome (63777736).

The spelling of 42216512 in words is "forty-two million, two hundred sixteen thousand, five hundred twelve".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 208 416 832 50741 101482 202964 405928 659633 811856 1319266 1623712 2638532 3247424 5277064 10554128 21108256 42216512