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150715638 = 232191972237
BaseRepresentation
bin10001111101110…
…11110011110110
3101111121010222200
420332323303312
5302040400023
622542205330
73510030123
oct1076736366
9344533880
10150715638
1178090987
1242583846
13252bc868
141603374a
15d371743
hex8fbbcf6

150715638 has 48 divisors (see below), whose sum is σ = 345636720. Its totient is φ = 47331648.

The previous prime is 150715637. The next prime is 150715651. The reversal of 150715638 is 836517051.

150715638 is a `hidden beast` number, since 1 + 5 + 0 + 7 + 15 + 638 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150715637) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66256 + ... + 68492.

It is an arithmetic number, because the mean of its divisors is an integer number (7200765).

Almost surely, 2150715638 is an apocalyptic number.

150715638 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 150715638, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172818360).

150715638 is an abundant number, since it is smaller than the sum of its proper divisors (194921082).

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

150715638 is a wasteful number, since it uses less digits than its factorization.

150715638 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2461 (or 2458 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The square root of 150715638 is about 12276.6297492431. The cubic root of 150715638 is about 532.1729208734.

The spelling of 150715638 in words is "one hundred fifty million, seven hundred fifteen thousand, six hundred thirty-eight".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 197 342 394 591 1182 1773 2237 3546 3743 4474 6711 7486 11229 13422 20133 22458 33687 40266 42503 67374 85006 127509 255018 382527 440689 765054 881378 1322067 2644134 3966201 7932402 8373091 16746182 25119273 50238546 75357819 150715638