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42385750884 = 2232343132
BaseRepresentation
bin100111011110011000…
…110011101101100100
311001101221021020110100
4213132120303231210
51143301223012014
631245521424100
73030233636511
oct473630635544
9131357236410
1042385750884
1116a80718a94
12826aa9b030
133cc641c589
1420a139c308
151181196009
hex9de633b64

42385750884 has 27 divisors (see below), whose sum is σ = 107144881753. Its totient is φ = 14128171872.

The previous prime is 42385750831. The next prime is 42385750903. The reversal of 42385750884 is 48805758324.

The square root of 42385750884 is 205878.

It is a perfect power (a square), and thus also a powerful number.

42385750884 is a `hidden beast` number, since 4 + 2 + 3 + 8 + 57 + 508 + 84 = 666.

It can be written as a sum of positive squares in only one way, i.e., 12757702500 + 29628048384 = 112950^2 + 172128^2 .

It is a super-3 number, since 3×423857508843 (a number of 33 digits) contains 333 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 42385750884.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1218112 + ... + 1252424.

Almost surely, 242385750884 is an apocalyptic number.

42385750884 is the 205878-th square number.

It is an amenable number.

42385750884 is an abundant number, since it is smaller than the sum of its proper divisors (64759130869).

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

42385750884 is an frugal number, since it uses more digits than its factorization.

42385750884 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68636 (or 34318 counting only the distinct ones).

The product of its (nonzero) digits is 8601600, while the sum is 54.

The spelling of 42385750884 in words is "forty-two billion, three hundred eighty-five million, seven hundred fifty thousand, eight hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 36 34313 68626 102939 137252 205878 308817 411756 617634 1235268 1177381969 2354763938 3532145907 4709527876 7064291814 10596437721 14128583628 21192875442 42385750884