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152197056 = 26341117157
BaseRepresentation
bin10010001001001…
…01011111000000
3101121101102010000
421010211133000
5302430301211
623034040000
73525440124
oct1104453700
9347342100
10152197056
1178a029a0
1242b79000
13256bac3b
14162db584
15d565656
hex91257c0

152197056 has 280 divisors, whose sum is σ = 524444976. Its totient is φ = 43130880.

The previous prime is 152197051. The next prime is 152197057. The reversal of 152197056 is 650791251.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 152197056.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152197051) 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 39 ways as a sum of consecutive naturals, for example, 969330 + ... + 969486.

Almost surely, 2152197056 is an apocalyptic number.

152197056 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 152197056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262222488).

152197056 is an abundant number, since it is smaller than the sum of its proper divisors (372247920).

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

152197056 is a wasteful number, since it uses less digits than its factorization.

152197056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 36.

The square root of 152197056 is about 12336.8170935619. The cubic root of 152197056 is about 533.9108549588.

The spelling of 152197056 in words is "one hundred fifty-two million, one hundred ninety-seven thousand, fifty-six".