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149191632 = 2434115117
BaseRepresentation
bin10001110010001…
…11101111010000
3101101201201110000
420321013233100
5301143113012
622445410000
73461052012
oct1071075720
9341651400
10149191632
117723a977
1241b69900
1324ba7c95
1415b581b2
15d16eddc
hex8e47bd0

149191632 has 50 divisors (see below), whose sum is σ = 431807618. Its totient is φ = 49730112.

The previous prime is 149191613. The next prime is 149191663. The reversal of 149191632 is 236191941.

It is a happy number.

149191632 is a `hidden beast` number, since 1 + 4 + 9 + 19 + 1 + 632 = 666.

149191632 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 148937616 + 254016 = 12204^2 + 504^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 9 ways as a sum of consecutive naturals, for example, 56263 + ... + 58854.

Almost surely, 2149191632 is an apocalyptic number.

149191632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

149191632 is an abundant number, since it is smaller than the sum of its proper divisors (282615986).

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

149191632 is a wasteful number, since it uses less digits than its factorization.

149191632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115137 (or 115122 counting only the distinct ones).

The product of its digits is 11664, while the sum is 36.

The square root of 149191632 is about 12214.4026460568. The cubic root of 149191632 is about 530.3730991045.

The spelling of 149191632 in words is "one hundred forty-nine million, one hundred ninety-one thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 115117 230234 345351 460468 690702 920936 1036053 1381404 1841872 2072106 2762808 3108159 4144212 5525616 6216318 8288424 9324477 12432636 16576848 18648954 24865272 37297908 49730544 74595816 149191632