Search a number
-
+
149732928 = 2633731187
BaseRepresentation
bin10001110110010…
…11111001000000
3101102202012222000
420323023321000
5301312423203
622505144000
73465465102
oct1073137100
9342665860
10149732928
117757a624
124218b000
1325037487
1415c59572
15d22a4a3
hex8ecbe40

149732928 has 112 divisors (see below), whose sum is σ = 446592960. Its totient is φ = 49185792.

The previous prime is 149732927. The next prime is 149732971. The reversal of 149732928 is 829237941.

It is not an unprimeable number, because it can be changed into a prime (149732927) by changing a digit.

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, 125551 + ... + 126737.

Almost surely, 2149732928 is an apocalyptic number.

149732928 is a gapful number since it is divisible by the number (18) 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 149732928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223296480).

149732928 is an abundant number, since it is smaller than the sum of its proper divisors (296860032).

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

149732928 is a wasteful number, since it uses less digits than its factorization.

149732928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1281 (or 1265 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 149732928 is about 12236.5406876290. The cubic root of 149732928 is about 531.0137568653.

The spelling of 149732928 in words is "one hundred forty-nine million, seven hundred thirty-two thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 73 96 108 144 146 192 216 219 288 292 432 438 576 584 657 864 876 1168 1187 1314 1728 1752 1971 2336 2374 2628 3504 3561 3942 4672 4748 5256 7008 7122 7884 9496 10512 10683 14016 14244 15768 18992 21024 21366 28488 31536 32049 37984 42048 42732 56976 63072 64098 75968 85464 86651 113952 126144 128196 170928 173302 227904 256392 259953 341856 346604 512784 519906 683712 693208 779859 1025568 1039812 1386416 1559718 2051136 2079624 2339577 2772832 3119436 4159248 4679154 5545664 6238872 8318496 9358308 12477744 16636992 18716616 24955488 37433232 49910976 74866464 149732928