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149048768 = 26112191013
BaseRepresentation
bin10001110001001…
…00110111000000
3101101110110110202
420320210313000
5301124030033
622442344332
73456615341
oct1070446700
9341413422
10149048768
1177152600
1241abb0a8
1324b57c4b
1415b1c0c8
15d1428e8
hex8e24dc0

149048768 has 84 divisors (see below), whose sum is σ = 342549480. Its totient is φ = 64120320.

The previous prime is 149048759. The next prime is 149048789. The reversal of 149048768 is 867840941.

It is a congruent number.

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, 146630 + ... + 147642.

It is an arithmetic number, because the mean of its divisors is an integer number (4077970).

Almost surely, 2149048768 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 149048768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171274740).

149048768 is an abundant number, since it is smaller than the sum of its proper divisors (193500712).

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

149048768 is a wasteful number, since it uses less digits than its factorization.

149048768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1066 (or 1045 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 47.

The square root of 149048768 is about 12208.5530674196. The cubic root of 149048768 is about 530.2037522045.

The spelling of 149048768 in words is "one hundred forty-nine million, forty-eight thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 11 16 19 22 32 38 44 64 76 88 121 152 176 209 242 304 352 418 484 608 704 836 968 1013 1216 1672 1936 2026 2299 3344 3872 4052 4598 6688 7744 8104 9196 11143 13376 16208 18392 19247 22286 32416 36784 38494 44572 64832 73568 76988 89144 122573 147136 153976 178288 211717 245146 307952 356576 423434 490292 615904 713152 846868 980584 1231808 1693736 1961168 2328887 3387472 3922336 4657774 6774944 7844672 9315548 13549888 18631096 37262192 74524384 149048768