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149293008 = 24321036757
BaseRepresentation
bin10001110011000…
…00011111010000
3101101220212111200
420321200133100
5301204334013
622451511200
73461653404
oct1071403720
9341825450
10149293008
11772aa057
1241bb8500
1324c12177
1415b83104
15d18ee73
hex8e607d0

149293008 has 30 divisors (see below), whose sum is σ = 417813474. Its totient is φ = 49764288.

The previous prime is 149293007. The next prime is 149293037. The reversal of 149293008 is 800392941.

It can be written as a sum of positive squares in only one way, i.e., 101848464 + 47444544 = 10092^2 + 6888^2 .

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 (149293003) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 518235 + ... + 518522.

Almost surely, 2149293008 is an apocalyptic number.

149293008 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

149293008 is an abundant number, since it is smaller than the sum of its proper divisors (268520466).

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

149293008 is a wasteful number, since it uses less digits than its factorization.

149293008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1036771 (or 1036762 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 149293008 is about 12218.5517963464. The cubic root of 149293008 is about 530.4932017512.

The spelling of 149293008 in words is "one hundred forty-nine million, two hundred ninety-three thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 1036757 2073514 3110271 4147028 6220542 8294056 9330813 12441084 16588112 18661626 24882168 37323252 49764336 74646504 149293008