Search a number
-
+
149985264 = 243111321851
BaseRepresentation
bin10001111000010…
…01011111110000
3101110020001002210
420330021133300
5301344012024
622514412120
73500565552
oct1074113760
9343201083
10149985264
1177732170
1242291040
13250c52a0
1415cc34d2
15d27a129
hex8f097f0

149985264 has 80 divisors (see below), whose sum is σ = 455220864. Its totient is φ = 41952000.

The previous prime is 149985263. The next prime is 149985281. The reversal of 149985264 is 462589941.

149985264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149985263) 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, 4062 + ... + 17789.

Almost surely, 2149985264 is an apocalyptic number.

It is an amenable number.

149985264 is an abundant number, since it is smaller than the sum of its proper divisors (305235600).

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

149985264 is a wasteful number, since it uses less digits than its factorization.

149985264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21886 (or 21880 counting only the distinct ones).

The product of its digits is 622080, while the sum is 48.

The square root of 149985264 is about 12246.8471044592. The cubic root of 149985264 is about 531.3118847585.

The spelling of 149985264 in words is "one hundred forty-nine million, nine hundred eighty-five thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 33 39 44 48 52 66 78 88 104 132 143 156 176 208 264 286 312 429 528 572 624 858 1144 1716 2288 3432 6864 21851 43702 65553 87404 131106 174808 240361 262212 284063 349616 480722 524424 568126 721083 852189 961444 1048848 1136252 1442166 1704378 1922888 2272504 2884332 3124693 3408756 3845776 4545008 5768664 6249386 6817512 9374079 11537328 12498772 13635024 18748158 24997544 37496316 49995088 74992632 149985264