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149925672 = 233213315167
BaseRepresentation
bin10001110111110…
…10111100101000
3101110010000100200
420323322330220
5301340110142
622513232200
73500230041
oct1073727450
9343100320
10149925672
11776a1416
1242262660
13250a4120
1415ca98c8
15d26764c
hex8efaf28

149925672 has 96 divisors (see below), whose sum is σ = 451476480. Its totient is φ = 44634240.

The previous prime is 149925623. The next prime is 149925673. The reversal of 149925672 is 276529941.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149925673) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26433 + ... + 31599.

It is an arithmetic number, because the mean of its divisors is an integer number (4702880).

Almost surely, 2149925672 is an apocalyptic number.

149925672 is a gapful number since it is divisible by the number (12) 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 149925672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225738240).

149925672 is an abundant number, since it is smaller than the sum of its proper divisors (301550808).

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

149925672 is a wasteful number, since it uses less digits than its factorization.

149925672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5223 (or 5216 counting only the distinct ones).

The product of its digits is 272160, while the sum is 45.

The square root of 149925672 is about 12244.4139100244. The cubic root of 149925672 is about 531.2415086624.

The spelling of 149925672 in words is "one hundred forty-nine million, nine hundred twenty-five thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 31 36 39 52 62 72 78 93 104 117 124 156 186 234 248 279 312 372 403 468 558 744 806 936 1116 1209 1612 2232 2418 3224 3627 4836 5167 7254 9672 10334 14508 15501 20668 29016 31002 41336 46503 62004 67171 93006 124008 134342 160177 186012 201513 268684 320354 372024 403026 480531 537368 604539 640708 806052 961062 1209078 1281416 1441593 1612104 1922124 2082301 2418156 2883186 3844248 4164602 4836312 5766372 6246903 8329204 11532744 12493806 16658408 18740709 24987612 37481418 49975224 74962836 149925672