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159649056 = 253572419
BaseRepresentation
bin10011000010000…
…00110100100000
3102010102000100000
421201000310200
5311332232211
623501500000
73645665100
oct1141006440
9363360300
10159649056
1182132776
1245571600
13270c9ac8
14172bb200
15e038656
hex9840d20

159649056 has 216 divisors, whose sum is σ = 548992080. Its totient is φ = 45505152.

The previous prime is 159649013. The next prime is 159649111. The reversal of 159649056 is 650946951.

It is a happy number.

159649056 is a `hidden beast` number, since 1 + 596 + 4 + 9 + 0 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

It is a super-2 number, since 2×1596490562 = 50975642163382272, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 380815 + ... + 381233.

It is an arithmetic number, because the mean of its divisors is an integer number (2541630).

Almost surely, 2159649056 is an apocalyptic number.

159649056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 159649056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274496040).

159649056 is an abundant number, since it is smaller than the sum of its proper divisors (389343024).

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

159649056 is an equidigital number, since it uses as much as digits as its factorization.

159649056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The square root of 159649056 is about 12635.2307458154. The cubic root of 159649056 is about 542.4863125232.

The spelling of 159649056 in words is "one hundred fifty-nine million, six hundred forty-nine thousand, fifty-six".