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150661242 = 23317337487
BaseRepresentation
bin10001111101011…
…10100001111010
3101111111101101000
420332232201322
5302032124432
622541105430
73506412414
oct1076564172
9344441330
10150661242
1178054026
1242558276
13252a0b84
141601b9b4
15d36057c
hex8fae87a

150661242 has 64 divisors (see below), whose sum is σ = 356279040. Its totient is φ = 47029248.

The previous prime is 150661237. The next prime is 150661249. The reversal of 150661242 is 242166051.

150661242 is a `hidden beast` number, since 1 + 5 + 0 + 6 + 612 + 42 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (150661249) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 309123 + ... + 309609.

It is an arithmetic number, because the mean of its divisors is an integer number (5566860).

Almost surely, 2150661242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 150661242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178139520).

150661242 is an abundant number, since it is smaller than the sum of its proper divisors (205617798).

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

150661242 is a wasteful number, since it uses less digits than its factorization.

150661242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 852 (or 846 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 150661242 is about 12274.4141204377. The cubic root of 150661242 is about 532.1088895583.

The spelling of 150661242 in words is "one hundred fifty million, six hundred sixty-one thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 102 153 306 337 459 487 674 918 974 1011 1461 2022 2922 3033 4383 5729 6066 8279 8766 9099 11458 13149 16558 17187 18198 24837 26298 34374 49674 51561 74511 103122 149022 154683 164119 223533 309366 328238 447066 492357 984714 1477071 2790023 2954142 4431213 5580046 8370069 8862426 16740138 25110207 50220414 75330621 150661242