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150577056 = 2534743193
BaseRepresentation
bin10001111100110…
…01111110100000
3101111100002220000
420332121332200
5302021431211
622535220000
73505612110
oct1076317640
9344302800
10150577056
1177aa6853
1242517600
1325271766
1415dd9040
15d345656
hex8f99fa0

150577056 has 240 divisors, whose sum is σ = 520559424. Its totient is φ = 41803776.

The previous prime is 150577043. The next prime is 150577057. The reversal of 150577056 is 650775051.

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 150577056.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150577057) 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, 780096 + ... + 780288.

Almost surely, 2150577056 is an apocalyptic number.

150577056 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 150577056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260279712).

150577056 is an abundant number, since it is smaller than the sum of its proper divisors (369982368).

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

150577056 is a wasteful number, since it uses less digits than its factorization.

150577056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 36750, while the sum is 36.

The square root of 150577056 is about 12270.9843125969. The cubic root of 150577056 is about 532.0097610661.

The spelling of 150577056 in words is "one hundred fifty million, five hundred seventy-seven thousand, fifty-six".