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150631488 = 263472593
BaseRepresentation
bin10001111101001…
…11010001000000
3101111102212120000
420332213101000
5302030201423
622540320000
73506226600
oct1076472100
9344385500
10150631488
1178033737
1242543000
1325290477
1416010c00
15d356843
hex8fa7440

150631488 has 210 divisors, whose sum is σ = 520295886. Its totient is φ = 42964992.

The previous prime is 150631469. The next prime is 150631489. The reversal of 150631488 is 884136051.

150631488 is a `hidden beast` number, since 1 + 506 + 3 + 148 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 134374464 + 16257024 = 11592^2 + 4032^2 .

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

It is not an unprimeable number, because it can be changed into a prime (150631489) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 253720 + ... + 254312.

Almost surely, 2150631488 is an apocalyptic number.

150631488 is a gapful number since it is divisible by the number (18) 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 150631488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260147943).

150631488 is an abundant number, since it is smaller than the sum of its proper divisors (369664398).

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

150631488 is an equidigital number, since it uses as much as digits as its factorization.

150631488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 631 (or 605 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 150631488 is about 12273.2020271810. The cubic root of 150631488 is about 532.0738586283.

The spelling of 150631488 in words is "one hundred fifty million, six hundred thirty-one thousand, four hundred eighty-eight".