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149344992 = 2533172853
BaseRepresentation
bin10001110011011…
…01001011100000
3101102000111211000
420321231023200
5301213014432
622452552000
73462261066
oct1071551340
9342014730
10149344992
1177335115
1242022600
1324c2ca24
1415b98036
15d1a057c
hex8e6d2e0

149344992 has 48 divisors (see below), whose sum is σ = 435592080. Its totient is φ = 49781376.

The previous prime is 149344973. The next prime is 149345023. The reversal of 149344992 is 299443941.

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

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 85563 + ... + 87290.

It is an arithmetic number, because the mean of its divisors is an integer number (9074835).

Almost surely, 2149344992 is an apocalyptic number.

149344992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

149344992 is an abundant number, since it is smaller than the sum of its proper divisors (286247088).

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

149344992 is a wasteful number, since it uses less digits than its factorization.

149344992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172872 (or 172858 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

The square root of 149344992 is about 12220.6788682135. The cubic root of 149344992 is about 530.5547673905.

The spelling of 149344992 in words is "one hundred forty-nine million, three hundred forty-four thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 172853 345706 518559 691412 1037118 1382824 1555677 2074236 2765648 3111354 4148472 4667031 5531296 6222708 8296944 9334062 12445416 16593888 18668124 24890832 37336248 49781664 74672496 149344992