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150461472 = 25374143127
BaseRepresentation
bin10001111011111…
…01110000100000
3101111010020100010
420331331300200
5302004231342
622532524520
73504621120
oct1075756040
9344106303
10150461472
1177a27a27
1242480740
1325230c75
1415da8c80
15d32129c
hex8f7dc20

150461472 has 192 divisors, whose sum is σ = 476872704. Its totient is φ = 40642560.

The previous prime is 150461459. The next prime is 150461477. The reversal of 150461472 is 274164051.

150461472 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (150461477) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1184673 + ... + 1184799.

It is an arithmetic number, because the mean of its divisors is an integer number (2483712).

Almost surely, 2150461472 is an apocalyptic number.

150461472 is a gapful number since it is divisible by the number (12) 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 150461472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238436352).

150461472 is an abundant number, since it is smaller than the sum of its proper divisors (326411232).

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

150461472 is a wasteful number, since it uses less digits than its factorization.

150461472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 150461472 is about 12266.2737618235. The cubic root of 150461472 is about 531.8736014182.

The spelling of 150461472 in words is "one hundred fifty million, four hundred sixty-one thousand, four hundred seventy-two".