Search a number
-
+
149918232 = 23323318761
BaseRepresentation
bin10001110111110…
…01001000011000
3101110002122011010
420323321020120
5301334340412
622513133520
73500166252
oct1073711030
9343078133
10149918232
1177696872
124225a2a0
13250a0919
1415ca6cd2
15d26533c
hex8ef9218

149918232 has 64 divisors (see below), whose sum is σ = 403752960. Its totient is φ = 46252800.

The previous prime is 149918213. The next prime is 149918267. The reversal of 149918232 is 232819941.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12732 + ... + 21492.

It is an arithmetic number, because the mean of its divisors is an integer number (6308640).

Almost surely, 2149918232 is an apocalyptic number.

149918232 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 149918232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201876480).

149918232 is an abundant number, since it is smaller than the sum of its proper divisors (253834728).

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

149918232 is a wasteful number, since it uses less digits than its factorization.

149918232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8824 (or 8820 counting only the distinct ones).

The product of its digits is 31104, while the sum is 39.

The square root of 149918232 is about 12244.1100942453. The cubic root of 149918232 is about 531.2327209697.

The spelling of 149918232 in words is "one hundred forty-nine million, nine hundred eighteen thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 23 24 31 46 62 69 92 93 124 138 184 186 248 276 372 552 713 744 1426 2139 2852 4278 5704 8556 8761 17112 17522 26283 35044 52566 70088 105132 201503 210264 271591 403006 543182 604509 806012 814773 1086364 1209018 1612024 1629546 2172728 2418036 3259092 4836072 6246593 6518184 12493186 18739779 24986372 37479558 49972744 74959116 149918232