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149417744 = 24729179257
BaseRepresentation
bin10001110011111…
…10111100010000
3101102011012121112
420321332330100
5301222331434
622454312452
73463013150
oct1071767420
9342135545
10149417744
1177384843
1242058728
1324c56b88
1415bb6760
15d1b6dce
hex8e7ef10

149417744 has 80 divisors (see below), whose sum is σ = 345513600. Its totient is φ = 61243392.

The previous prime is 149417717. The next prime is 149417761. The reversal of 149417744 is 447714941.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 581264 + ... + 581520.

It is an arithmetic number, because the mean of its divisors is an integer number (4318920).

Almost surely, 2149417744 is an apocalyptic number.

149417744 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 149417744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172756800).

149417744 is an abundant number, since it is smaller than the sum of its proper divisors (196095856).

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

149417744 is a wasteful number, since it uses less digits than its factorization.

149417744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 474 counting only the distinct ones).

The product of its digits is 112896, while the sum is 41.

The square root of 149417744 is about 12223.6550998464. The cubic root of 149417744 is about 530.6409049835.

The spelling of 149417744 in words is "one hundred forty-nine million, four hundred seventeen thousand, seven hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 29 56 58 112 116 179 203 232 257 358 406 464 514 716 812 1028 1253 1432 1624 1799 2056 2506 2864 3248 3598 4112 5012 5191 7196 7453 10024 10382 14392 14906 20048 20764 28784 29812 36337 41528 46003 52171 59624 72674 83056 92006 104342 119248 145348 184012 208684 290696 322021 368024 417368 581392 644042 736048 834736 1288084 1334087 2576168 2668174 5152336 5336348 9338609 10672696 18677218 21345392 37354436 74708872 149417744