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149336424 = 233223312909
BaseRepresentation
bin10001110011010…
…11000101101000
3101102000002001200
420321223011220
5301212231144
622452444200
73462224106
oct1071530550
9342002050
10149336424
1177329736
1242019660
1324c28b63
1415b94c76
15d19cc69
hex8e6b168

149336424 has 96 divisors (see below), whose sum is σ = 435801600. Its totient is φ = 46062720.

The previous prime is 149336423. The next prime is 149336491. The reversal of 149336424 is 424633941.

It is a happy number.

149336424 is a `hidden beast` number, since 1 + 4 + 9 + 3 + 3 + 642 + 4 = 666.

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 not an unprimeable number, because it can be changed into a prime (149336423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49882 + ... + 52790.

It is an arithmetic number, because the mean of its divisors is an integer number (4539600).

Almost surely, 2149336424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 149336424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217900800).

149336424 is an abundant number, since it is smaller than the sum of its proper divisors (286465176).

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

149336424 is a wasteful number, since it uses less digits than its factorization.

149336424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2975 (or 2968 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

The square root of 149336424 is about 12220.3283098287. The cubic root of 149336424 is about 530.5446211286.

The spelling of 149336424 in words is "one hundred forty-nine million, three hundred thirty-six thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 31 36 46 62 69 72 92 93 124 138 184 186 207 248 276 279 372 414 552 558 713 744 828 1116 1426 1656 2139 2232 2852 2909 4278 5704 5818 6417 8556 8727 11636 12834 17112 17454 23272 25668 26181 34908 51336 52362 66907 69816 90179 104724 133814 180358 200721 209448 267628 270537 360716 401442 535256 541074 602163 721432 802884 811611 1082148 1204326 1605768 1623222 2074117 2164296 2408652 3246444 4148234 4817304 6222351 6492888 8296468 12444702 16592936 18667053 24889404 37334106 49778808 74668212 149336424