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149250192 = 24371347727
BaseRepresentation
bin10001110010101…
…10000010010000
3101101211200202220
420321112002100
5301202001232
622450541040
73461414520
oct1071260220
9341750686
10149250192
117727a973
1241b97780
1324bc8830
1415b71680
15d18242c
hex8e56090

149250192 has 160 divisors (see below), whose sum is σ = 485302272. Its totient is φ = 38472192.

The previous prime is 149250169. The next prime is 149250203. The reversal of 149250192 is 291052941.

149250192 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 204933 + ... + 205659.

Almost surely, 2149250192 is an apocalyptic number.

149250192 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 149250192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242651136).

149250192 is an abundant number, since it is smaller than the sum of its proper divisors (336052080).

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

149250192 is a wasteful number, since it uses less digits than its factorization.

149250192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 805 (or 799 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 33.

The square root of 149250192 is about 12216.7995809050. The cubic root of 149250192 is about 530.4424832147.

The spelling of 149250192 in words is "one hundred forty-nine million, two hundred fifty thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 47 48 52 56 78 84 91 94 104 112 141 156 168 182 188 208 273 282 312 329 336 364 376 546 564 611 624 658 727 728 752 987 1092 1128 1222 1316 1454 1456 1833 1974 2181 2184 2256 2444 2632 2908 3666 3948 4277 4362 4368 4888 5089 5264 5816 7332 7896 8554 8724 9451 9776 10178 11632 12831 14664 15267 15792 17108 17448 18902 20356 25662 28353 29328 30534 34169 34216 34896 37804 40712 51324 56706 61068 66157 68338 68432 75608 81424 102507 102648 113412 122136 132314 136676 151216 198471 205014 205296 226824 239183 244272 264628 273352 396942 410028 444197 453648 478366 529256 546704 717549 793884 820056 888394 956732 1058512 1332591 1435098 1587768 1640112 1776788 1913464 2665182 2870196 3109379 3175536 3553576 3826928 5330364 5740392 6218758 7107152 9328137 10660728 11480784 12437516 18656274 21321456 24875032 37312548 49750064 74625096 149250192