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149036832 = 25327259179
BaseRepresentation
bin10001110001000…
…01111100100000
3101101102212002200
420320201330200
5301123134312
622442213200
73456535500
oct1070417440
9341385080
10149036832
117714463a
1241ab4200
1324b52699
1415b17a00
15d13e0dc
hex8e21f20

149036832 has 216 divisors, whose sum is σ = 504176400. Its totient is φ = 41626368.

The previous prime is 149036821. The next prime is 149036857. The reversal of 149036832 is 238630941.

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

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 35 ways as a sum of consecutive naturals, for example, 832519 + ... + 832697.

It is an arithmetic number, because the mean of its divisors is an integer number (2334150).

Almost surely, 2149036832 is an apocalyptic number.

149036832 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 149036832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252088200).

149036832 is an abundant number, since it is smaller than the sum of its proper divisors (355139568).

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

149036832 is a wasteful number, since it uses less digits than its factorization.

149036832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 149036832 is about 12208.0642200146. The cubic root of 149036832 is about 530.1895987141.

The spelling of 149036832 in words is "one hundred forty-nine million, thirty-six thousand, eight hundred thirty-two".