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150532992 = 273414519
BaseRepresentation
bin10001111100011…
…11001110000000
3101111020212110000
420332033032000
5302014023432
622534240000
73505336461
oct1076171600
9344225400
10150532992
1177a76735
12424b6000
132525769c
1415dc6d68
15d33757c
hex8f8f380

150532992 has 80 divisors (see below), whose sum is σ = 448014600. Its totient is φ = 50174208.

The previous prime is 150532951. The next prime is 150533003. The reversal of 150532992 is 299235051.

It is a happy number.

It is a super-3 number, since 3×1505329923 (a number of 26 digits) contains 333 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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 3109 + ... + 17627.

Almost surely, 2150532992 is an apocalyptic number.

150532992 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 150532992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224007300).

150532992 is an abundant number, since it is smaller than the sum of its proper divisors (297481608).

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

150532992 is an equidigital number, since it uses as much as digits as its factorization.

150532992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14545 (or 14524 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 36.

The square root of 150532992 is about 12269.1887262361. The cubic root of 150532992 is about 531.9578612486.

The spelling of 150532992 in words is "one hundred fifty million, five hundred thirty-two thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 288 324 384 432 576 648 864 1152 1296 1728 2592 3456 5184 10368 14519 29038 43557 58076 87114 116152 130671 174228 232304 261342 348456 392013 464608 522684 696912 784026 929216 1045368 1176039 1393824 1568052 1858432 2090736 2352078 2787648 3136104 4181472 4704156 5575296 6272208 8362944 9408312 12544416 16725888 18816624 25088832 37633248 50177664 75266496 150532992