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150644992 = 281933049
BaseRepresentation
bin10001111101010…
…10100100000000
3101111110120002011
420332222210000
5302031114432
622540502304
73506314141
oct1076524400
9344416064
10150644992
11780428a3
124254a994
1325296664
1416015ac8
15d35a847
hex8faa900

150644992 has 36 divisors (see below), whose sum is σ = 302358700. Its totient is φ = 74907648.

The previous prime is 150644983. The next prime is 150645013. The reversal of 150644992 is 299446051.

It can be written as a sum of positive squares in 2 ways, for example, as 25563136 + 125081856 = 5056^2 + 11184^2 .

It is a super-2 number, since 2×1506449922 = 45387827229360128, which contains 22 as substring.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 47884 + ... + 50932.

Almost surely, 2150644992 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 150644992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151179350).

150644992 is an abundant number, since it is smaller than the sum of its proper divisors (151713708).

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

150644992 is an equidigital number, since it uses as much as digits as its factorization.

150644992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3258 (or 3244 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 40.

The square root of 150644992 is about 12273.7521565331. The cubic root of 150644992 is about 532.0897581607.

The spelling of 150644992 in words is "one hundred fifty million, six hundred forty-four thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 16 32 64 128 193 256 386 772 1544 3049 3088 6098 6176 12196 12352 24392 24704 48784 49408 97568 195136 390272 588457 780544 1176914 2353828 4707656 9415312 18830624 37661248 75322496 150644992