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149409792 = 212337193
BaseRepresentation
bin10001110011111…
…01000000000000
3101102010210201000
420321331000000
5301222103132
622454212000
73462651030
oct1071750000
9342123630
10149409792
1177379874
1242054000
1324c5337c
1415bb38c0
15d1b487c
hex8e7d000

149409792 has 208 divisors, whose sum is σ = 508497280. Its totient is φ = 42467328.

The previous prime is 149409791. The next prime is 149409803. The reversal of 149409792 is 297904941.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149409791) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 774048 + ... + 774240.

Almost surely, 2149409792 is an apocalyptic number.

149409792 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 149409792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254248640).

149409792 is an abundant number, since it is smaller than the sum of its proper divisors (359087488).

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

149409792 is an equidigital number, since it uses as much as digits as its factorization.

149409792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 149409792 is about 12223.3298245609. The cubic root of 149409792 is about 530.6314912615.

The spelling of 149409792 in words is "one hundred forty-nine million, four hundred nine thousand, seven hundred ninety-two".