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149336352 = 25331119827
BaseRepresentation
bin10001110011010…
…11000100100000
3101102000001222000
420321223010200
5301212230402
622452444000
73462223644
oct1071530440
9342001860
10149336352
1177329680
1242019600
1324c28b09
1415b94c24
15d19cc1c
hex8e6b120

149336352 has 192 divisors, whose sum is σ = 500774400. Its totient is φ = 42819840.

The previous prime is 149336323. The next prime is 149336353. The reversal of 149336352 is 253633941.

It is a happy number.

149336352 is a `hidden beast` number, since 14 + 9 + 3 + 3 + 635 + 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 (149336353) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 180163 + ... + 180989.

It is an arithmetic number, because the mean of its divisors is an integer number (2608200).

Almost surely, 2149336352 is an apocalyptic number.

149336352 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 149336352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250387200).

149336352 is an abundant number, since it is smaller than the sum of its proper divisors (351438048).

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

149336352 is a wasteful number, since it uses less digits than its factorization.

149336352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 876 (or 862 counting only the distinct ones).

The product of its digits is 58320, while the sum is 36.

The square root of 149336352 is about 12220.3253639173. The cubic root of 149336352 is about 530.5445358643.

The spelling of 149336352 in words is "one hundred forty-nine million, three hundred thirty-six thousand, three hundred fifty-two".