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149931024 = 24317434273
BaseRepresentation
bin10001110111111…
…00010000010000
3101110010021200220
420323330100100
5301340243044
622513313040
73500251455
oct1073742020
9343107626
10149931024
11776a5441
1242265780
13250a66a9
1415cab82c
15d269019
hex8efc410

149931024 has 80 divisors (see below), whose sum is σ = 419740992. Its totient is φ = 45932544.

The previous prime is 149931017. The next prime is 149931029. The reversal of 149931024 is 420139941.

It is not an unprimeable number, because it can be changed into a prime (149931029) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32952 + ... + 37224.

Almost surely, 2149931024 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 149931024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209870496).

149931024 is an abundant number, since it is smaller than the sum of its proper divisors (269809968).

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

149931024 is a wasteful number, since it uses less digits than its factorization.

149931024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4344 (or 4338 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 149931024 is about 12244.6324567134. The cubic root of 149931024 is about 531.2478299519.

It can be divided in two parts, 1499 and 31024, that added together give a palindrome (32523).

The spelling of 149931024 in words is "one hundred forty-nine million, nine hundred thirty-one thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 43 48 51 68 86 102 129 136 172 204 258 272 344 408 516 688 731 816 1032 1462 2064 2193 2924 4273 4386 5848 8546 8772 11696 12819 17092 17544 25638 34184 35088 51276 68368 72641 102552 145282 183739 205104 217923 290564 367478 435846 551217 581128 734956 871692 1102434 1162256 1469912 1743384 2204868 2939824 3123563 3486768 4409736 6247126 8819472 9370689 12494252 18741378 24988504 37482756 49977008 74965512 149931024