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150327872 = 2617233593
BaseRepresentation
bin10001111010111…
…01001001000000
3101110212110001222
420331131021000
5301440442442
622530014212
73503523452
oct1075351100
9343773058
10150327872
1177946612
1242417368
13251b5206
1415d722d2
15d2e68d2
hex8f5d240

150327872 has 56 divisors (see below), whose sum is σ = 317744856. Its totient is φ = 70320128.

The previous prime is 150327869. The next prime is 150327917. The reversal of 150327872 is 278723051.

It can be written as a sum of positive squares in 4 ways, for example, as 27206656 + 123121216 = 5216^2 + 11096^2 .

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 253208 + ... + 253800.

Almost surely, 2150327872 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 150327872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158872428).

150327872 is an abundant number, since it is smaller than the sum of its proper divisors (167416984).

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

150327872 is a wasteful number, since it uses less digits than its factorization.

150327872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 855 (or 845 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 35.

The square root of 150327872 is about 12260.8267257963. The cubic root of 150327872 is about 531.7161317477.

The spelling of 150327872 in words is "one hundred fifty million, three hundred twenty-seven thousand, eight hundred seventy-two".

Divisors: 1 2 4 8 16 17 32 34 64 68 136 233 272 466 544 593 932 1088 1186 1864 2372 3728 3961 4744 7456 7922 9488 10081 14912 15844 18976 20162 31688 37952 40324 63376 80648 126752 138169 161296 253504 276338 322592 552676 645184 1105352 2210704 2348873 4421408 4697746 8842816 9395492 18790984 37581968 75163936 150327872