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150653352 = 23341283541
BaseRepresentation
bin10001111101011…
…00100110101000
3101111110222112210
420332230212220
5302031401402
622541005120
73506350413
oct1076544650
9344428483
10150653352
1178049103
12425537a0
132529a3c5
1416018b7a
15d35d06c
hex8fac9a8

150653352 has 64 divisors (see below), whose sum is σ = 387898560. Its totient is φ = 48729600.

The previous prime is 150653333. The next prime is 150653353. The reversal of 150653352 is 253356051.

150653352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (150653353) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 278202 + ... + 278742.

It is an arithmetic number, because the mean of its divisors is an integer number (6060915).

Almost surely, 2150653352 is an apocalyptic number.

150653352 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 150653352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193949280).

150653352 is an abundant number, since it is smaller than the sum of its proper divisors (237245208).

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

150653352 is a wasteful number, since it uses less digits than its factorization.

150653352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 874 (or 870 counting only the distinct ones).

The product of its (nonzero) digits is 13500, while the sum is 30.

The square root of 150653352 is about 12274.0927159607. The cubic root of 150653352 is about 532.0996007008.

The spelling of 150653352 in words is "one hundred fifty million, six hundred fifty-three thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 24 41 82 123 164 246 283 328 492 541 566 849 984 1082 1132 1623 1698 2164 2264 3246 3396 4328 6492 6792 11603 12984 22181 23206 34809 44362 46412 66543 69618 88724 92824 133086 139236 153103 177448 266172 278472 306206 459309 532344 612412 918618 1224824 1837236 3674472 6277223 12554446 18831669 25108892 37663338 50217784 75326676 150653352