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150330252 = 223174715679
BaseRepresentation
bin10001111010111…
…01101110001100
3101110212120100010
420331131232030
5301441032002
622530033220
73503533422
oct1075355614
9343776303
10150330252
1177948386
1242418810
13251b6317
1415d73112
15d2e746c
hex8f5db8c

150330252 has 48 divisors (see below), whose sum is σ = 379330560. Its totient is φ = 46156032.

The previous prime is 150330241. The next prime is 150330311. The reversal of 150330252 is 252033051.

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, 1749 + ... + 17427.

It is an arithmetic number, because the mean of its divisors is an integer number (7902720).

Almost surely, 2150330252 is an apocalyptic number.

150330252 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 150330252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189665280).

150330252 is an abundant number, since it is smaller than the sum of its proper divisors (229000308).

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

150330252 is a wasteful number, since it uses less digits than its factorization.

150330252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15750 (or 15748 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 21.

The square root of 150330252 is about 12260.9237824888. The cubic root of 150330252 is about 531.7189377869.

The spelling of 150330252 in words is "one hundred fifty million, three hundred thirty thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 12 17 34 47 51 68 94 102 141 188 204 282 564 799 1598 2397 3196 4794 9588 15679 31358 47037 62716 94074 188148 266543 533086 736913 799629 1066172 1473826 1599258 2210739 2947652 3198516 4421478 8842956 12527521 25055042 37582563 50110084 75165126 150330252