Search a number
-
+
149537232 = 24331326627
BaseRepresentation
bin10001110100111…
…00000111010000
3101102101021112000
420322130013100
5301240142412
622501034000
73464021415
oct1072340720
9342337460
10149537232
1177456599
12420b5900
1324c99390
1415c0810c
15d1dc4dc
hex8e9c1d0

149537232 has 80 divisors (see below), whose sum is σ = 462262080. Its totient is φ = 46009728.

The previous prime is 149537203. The next prime is 149537279. The reversal of 149537232 is 232735941.

It is a super-2 number, since 2×1495372322 = 44722767508443648, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 7698 + ... + 18929.

It is an arithmetic number, because the mean of its divisors is an integer number (5778276).

Almost surely, 2149537232 is an apocalyptic number.

149537232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

149537232 is an abundant number, since it is smaller than the sum of its proper divisors (312724848).

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

149537232 is a wasteful number, since it uses less digits than its factorization.

149537232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26657 (or 26645 counting only the distinct ones).

The product of its digits is 45360, while the sum is 36.

The square root of 149537232 is about 12228.5416955580. The cubic root of 149537232 is about 530.7823168505.

It can be divided in two parts, 149537 and 232, that added together give a square (149769 = 3872).

The spelling of 149537232 in words is "one hundred forty-nine million, five hundred thirty-seven thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 104 108 117 144 156 208 216 234 312 351 432 468 624 702 936 1404 1872 2808 5616 26627 53254 79881 106508 159762 213016 239643 319524 346151 426032 479286 639048 692302 718929 958572 1038453 1278096 1384604 1437858 1917144 2076906 2769208 2875716 3115359 3834288 4153812 5538416 5751432 6230718 8307624 9346077 11502864 12461436 16615248 18692154 24922872 37384308 49845744 74768616 149537232