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149031792 = 243371317223
BaseRepresentation
bin10001110001000…
…00101101110000
3101101102121012000
420320200231300
5301123004132
622442134000
73456515010
oct1070405560
9341377160
10149031792
1177140878
1241ab1300
1324b502c0
1415b15c40
15d13c87c
hex8e20b70

149031792 has 320 divisors, whose sum is σ = 559964160. Its totient is φ = 36827136.

The previous prime is 149031739. The next prime is 149031797. The reversal of 149031792 is 297130941.

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 (149031797) 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 63 ways as a sum of consecutive naturals, for example, 668193 + ... + 668415.

It is an arithmetic number, because the mean of its divisors is an integer number (1749888).

Almost surely, 2149031792 is an apocalyptic number.

149031792 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 149031792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279982080).

149031792 is an abundant number, since it is smaller than the sum of its proper divisors (410932368).

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

149031792 is a wasteful number, since it uses less digits than its factorization.

149031792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 149031792 is about 12207.8577973369. The cubic root of 149031792 is about 530.1836221474.

The spelling of 149031792 in words is "one hundred forty-nine million, thirty-one thousand, seven hundred ninety-two".