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150483456 = 2932172113
BaseRepresentation
bin10001111100000…
…11001000000000
3101111011100111100
420332003020000
5302010432311
622533214400
73505042164
oct1076031000
9344140440
10150483456
1177a424a2
1242491400
132523ac86
1415db2ca4
15d327a56
hex8f83200

150483456 has 180 divisors, whose sum is σ = 465438402. Its totient is φ = 46792704.

The previous prime is 150483449. The next prime is 150483469. The reversal of 150483456 is 654384051.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 125081856 + 25401600 = 11184^2 + 5040^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 150483456.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1331656 + ... + 1331768.

Almost surely, 2150483456 is an apocalyptic number.

150483456 is a gapful number since it is divisible by the number (16) 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 150483456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232719201).

150483456 is an abundant number, since it is smaller than the sum of its proper divisors (314954946).

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

150483456 is a wasteful number, since it uses less digits than its factorization.

150483456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 150483456 is about 12267.1698447523. The cubic root of 150483456 is about 531.8995042616.

The spelling of 150483456 in words is "one hundred fifty million, four hundred eighty-three thousand, four hundred fifty-six".