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149438205 = 32571393413
BaseRepresentation
bin10001110100000…
…11111011111101
3101102012020200100
420322003323331
5301224010310
622454551313
73463126620
oct1072037375
9342166610
10149438205
1177399154
1242068539
1324c63297
1415bbddb7
15d1bcec0
hex8e83efd

149438205 has 48 divisors (see below), whose sum is σ = 298247040. Its totient is φ = 67803264.

The previous prime is 149438203. The next prime is 149438213. The reversal of 149438205 is 502834941.

149438205 is a `hidden beast` number, since 14 + 9 + 438 + 205 = 666.

It is not a de Polignac number, because 149438205 - 21 = 149438203 is a prime.

It is a super-2 number, since 2×1494382052 = 44663554227244050, which contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 149438205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149438203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42079 + ... + 45491.

It is an arithmetic number, because the mean of its divisors is an integer number (6213480).

Almost surely, 2149438205 is an apocalyptic number.

149438205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

149438205 is a deficient number, since it is larger than the sum of its proper divisors (148808835).

149438205 is a wasteful number, since it uses less digits than its factorization.

149438205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3570 (or 3567 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 149438205 is about 12224.4920139857. The cubic root of 149438205 is about 530.6651255518.

The spelling of 149438205 in words is "one hundred forty-nine million, four hundred thirty-eight thousand, two hundred five".

Divisors: 1 3 5 7 9 15 21 35 45 63 105 139 315 417 695 973 1251 2085 2919 3413 4865 6255 8757 10239 14595 17065 23891 30717 43785 51195 71673 119455 153585 215019 358365 474407 1075095 1423221 2372035 3320849 4269663 7116105 9962547 16604245 21348315 29887641 49812735 149438205