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42056887392 = 2534138591453
BaseRepresentation
bin100111001010110010…
…010010110001100000
311000120000110020120000
4213022302102301200
51142113030344032
631153133020000
73016131434022
oct471262226140
9130500406500
1042056887392
111692201aa83
128198924600
133c73256bb0
14206d834012
151162384e7c
hex9cac92c60

42056887392 has 240 divisors, whose sum is σ = 133449457680. Its totient is φ = 12916620288.

The previous prime is 42056887349. The next prime is 42056887399. The reversal of 42056887392 is 29378865024.

42056887392 is a `hidden beast` number, since 4 + 2 + 0 + 568 + 8 + 73 + 9 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42056887399) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 28944138 + ... + 28945590.

It is an arithmetic number, because the mean of its divisors is an integer number (556039407).

Almost surely, 242056887392 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 42056887392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66724728840).

42056887392 is an abundant number, since it is smaller than the sum of its proper divisors (91392570288).

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

42056887392 is a wasteful number, since it uses less digits than its factorization.

42056887392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2347 (or 2330 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 42056887392 in words is "forty-two billion, fifty-six million, eight hundred eighty-seven thousand, three hundred ninety-two".