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842756096 = 21272131719
BaseRepresentation
bin110010001110110…
…111000000000000
32011201210110000202
4302032313000000
53211221143341
6215343104332
726612210600
oct6216670000
92151713022
10842756096
113a2794146
121b62a20a8
131057a3060
147dcd8c00
154dec079b
hex323b7000

842756096 has 312 divisors, whose sum is σ = 2353110480. Its totient is φ = 297271296.

The previous prime is 842756023. The next prime is 842756099. The reversal of 842756096 is 690657248.

It is a super-2 number, since 2×8427560962 = 1420475674690322432, 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 842756096.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (842756099) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 44355575 + ... + 44355593.

Almost surely, 2842756096 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 842756096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1176555240).

842756096 is an abundant number, since it is smaller than the sum of its proper divisors (1510354384).

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

842756096 is a wasteful number, since it uses less digits than its factorization.

842756096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 47.

The square root of 842756096 is about 29030.2617280658. The cubic root of 842756096 is about 944.5696073946.

The spelling of 842756096 in words is "eight hundred forty-two million, seven hundred fifty-six thousand, ninety-six".