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150464952 = 233411219101
BaseRepresentation
bin10001111011111…
…10100110111000
3101111010102010000
420331332212320
5302004334302
622532553000
73504634221
oct1075764670
9344112100
10150464952
1177a2a600
1242482760
1325232721
1415daa248
15d32231c
hex8f7e9b8

150464952 has 240 divisors, whose sum is σ = 492445800. Its totient is φ = 42768000.

The previous prime is 150464947. The next prime is 150464953. The reversal of 150464952 is 259464051.

150464952 is a `hidden beast` number, since 1 + 5 + 0 + 4 + 649 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150464953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1489702 + ... + 1489802.

Almost surely, 2150464952 is an apocalyptic number.

150464952 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 150464952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246222900).

150464952 is an abundant number, since it is smaller than the sum of its proper divisors (341980848).

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

150464952 is a wasteful number, since it uses less digits than its factorization.

150464952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 150464952 is about 12266.4156133730. The cubic root of 150464952 is about 531.8777019272.

The spelling of 150464952 in words is "one hundred fifty million, four hundred sixty-four thousand, nine hundred fifty-two".