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150113808 = 243213175389
BaseRepresentation
bin10001111001010…
…00111000010000
3101110110120102200
420330220320100
5301412120213
622521243200
73501642405
oct1074507020
9343416380
10150113808
117780a7a9
1242333500
132513b950
1415d182ac
15d2a3273
hex8f28e10

150113808 has 240 divisors, whose sum is σ = 493562160. Its totient is φ = 42172416.

The previous prime is 150113797. The next prime is 150113827. The reversal of 150113808 is 808311051.

It can be written as a sum of positive squares in 8 ways, for example, as 1468944 + 148644864 = 1212^2 + 12192^2 .

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 1686628 + ... + 1686716.

It is an arithmetic number, because the mean of its divisors is an integer number (2056509).

Almost surely, 2150113808 is an apocalyptic number.

150113808 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 150113808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246781080).

150113808 is an abundant number, since it is smaller than the sum of its proper divisors (343448352).

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

150113808 is a wasteful number, since it uses less digits than its factorization.

150113808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 27.

The square root of 150113808 is about 12252.0940251044. The cubic root of 150113808 is about 531.4636273391.

Adding to 150113808 its reverse (808311051), we get a palindrome (958424859).

The spelling of 150113808 in words is "one hundred fifty million, one hundred thirteen thousand, eight hundred eight".