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150556896 = 253271723191
BaseRepresentation
bin10001111100101…
…01000011100000
3101111022002020100
420332111003200
5302020310041
622534542400
73505466250
oct1076250340
9344262210
10150556896
1177a92696
1242507a00
1325265529
1415dd1960
15d33e6b6
hex8f950e0

150556896 has 288 divisors, whose sum is σ = 543449088. Its totient is φ = 38522880.

The previous prime is 150556867. The next prime is 150556921. The reversal of 150556896 is 698655051.

It is a happy number.

150556896 is a `hidden beast` number, since 1 + 5 + 0 + 556 + 8 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 788161 + ... + 788351.

It is an arithmetic number, because the mean of its divisors is an integer number (1886976).

Almost surely, 2150556896 is an apocalyptic number.

150556896 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 150556896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271724544).

150556896 is an abundant number, since it is smaller than the sum of its proper divisors (392892192).

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

150556896 is a wasteful number, since it uses less digits than its factorization.

150556896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 45.

The square root of 150556896 is about 12270.1628351053. The cubic root of 150556896 is about 531.9860173083.

The spelling of 150556896 in words is "one hundred fifty million, five hundred fifty-six thousand, eight hundred ninety-six".