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149812992 = 2832721327
BaseRepresentation
bin10001110110111…
…11011100000000
3101102220021210100
420323133130000
5301323003432
622511002400
73466250400
oct1073373400
9342807710
10149812992
117762479a
1242209400
1325064a54
1415c7a800
15d24407c
hex8edf700

149812992 has 162 divisors, whose sum is σ = 502848528. Its totient is φ = 42771456.

The previous prime is 149812981. The next prime is 149813003. The reversal of 149812992 is 299218941.

149812992 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (149812981) and next prime (149813003).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 112233 + ... + 113559.

Almost surely, 2149812992 is an apocalyptic number.

149812992 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 149812992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251424264).

149812992 is an abundant number, since it is smaller than the sum of its proper divisors (353035536).

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

149812992 is a wasteful number, since it uses less digits than its factorization.

149812992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1363 (or 1339 counting only the distinct ones).

The product of its digits is 93312, while the sum is 45.

The square root of 149812992 is about 12239.8117632585. The cubic root of 149812992 is about 531.1083864846.

The spelling of 149812992 in words is "one hundred forty-nine million, eight hundred twelve thousand, nine hundred ninety-two".