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149496264 = 233214291453
BaseRepresentation
bin10001110100100…
…10000111001000
3101102022012022200
420322102013020
5301232340024
622500120200
73463461111
oct1072220710
9342265280
10149496264
1177428835
1242096060
1324c83838
1415bd7208
15d1d02c9
hex8e921c8

149496264 has 48 divisors (see below), whose sum is σ = 405447900. Its totient is φ = 49762944.

The previous prime is 149496257. The next prime is 149496293. The reversal of 149496264 is 462694941.

149496264 is a `hidden beast` number, since 14 + 9 + 4 + 9 + 626 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 149084100 + 412164 = 12210^2 + 642^2 .

It is a super-3 number, since 3×1494962643 (a number of 26 digits) contains 333 as substring.

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

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 102162 + ... + 103614.

Almost surely, 2149496264 is an apocalyptic number.

It is an amenable number.

149496264 is an abundant number, since it is smaller than the sum of its proper divisors (255951636).

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

149496264 is a wasteful number, since it uses less digits than its factorization.

149496264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2894 (or 2887 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 149496264 is about 12226.8664832818. The cubic root of 149496264 is about 530.7338404594.

The spelling of 149496264 in words is "one hundred forty-nine million, four hundred ninety-six thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1429 1453 2858 2906 4287 4359 5716 5812 8574 8718 11432 11624 12861 13077 17148 17436 25722 26154 34296 34872 51444 52308 102888 104616 2076337 4152674 6229011 8305348 12458022 16610696 18687033 24916044 37374066 49832088 74748132 149496264