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149784192 = 2732130021
BaseRepresentation
bin10001110110110…
…00011010000000
3101102211211021200
420323120122000
5301321043232
622510221200
73466100415
oct1073303200
9342754250
10149784192
1177605098
12421b4800
13250548cc
1415c7010c
15d23a77c
hex8ed8680

149784192 has 48 divisors (see below), whose sum is σ = 431022930. Its totient is φ = 49927680.

The previous prime is 149784191. The next prime is 149784209. The reversal of 149784192 is 291487941.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 149230656 + 553536 = 12216^2 + 744^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (149784191) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 63859 + ... + 66162.

Almost surely, 2149784192 is an apocalyptic number.

149784192 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

149784192 is an abundant number, since it is smaller than the sum of its proper divisors (281238738).

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

149784192 is a wasteful number, since it uses less digits than its factorization.

149784192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130041 (or 130026 counting only the distinct ones).

The product of its digits is 145152, while the sum is 45.

The square root of 149784192 is about 12238.6352180298. The cubic root of 149784192 is about 531.0743509367.

The spelling of 149784192 in words is "one hundred forty-nine million, seven hundred eighty-four thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 130021 260042 390063 520084 780126 1040168 1170189 1560252 2080336 2340378 3120504 4160672 4680756 6241008 8321344 9361512 12482016 16642688 18723024 24964032 37446048 49928064 74892096 149784192