Search a number
-
+
152285232 = 24311379761
BaseRepresentation
bin10010001001110…
…11000000110000
3101121112220001210
421010323000300
5302441111412
623040000120
73526255161
oct1104730060
9347486053
10152285232
1178a63170
1243000040
132571c108
1416321768
15d58183c
hex913b030

152285232 has 80 divisors (see below), whose sum is σ = 430865280. Its totient is φ = 45964800.

The previous prime is 152285183. The next prime is 152285233. The reversal of 152285232 is 232582251.

It is a self number, because there is not a number n which added to its sum of digits gives 152285232.

It is not an unprimeable number, because it can be changed into a prime (152285233) 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, 199732 + ... + 200492.

It is an arithmetic number, because the mean of its divisors is an integer number (5385816).

Almost surely, 2152285232 is an apocalyptic number.

152285232 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 152285232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215432640).

152285232 is an abundant number, since it is smaller than the sum of its proper divisors (278580048).

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

152285232 is a wasteful number, since it uses less digits than its factorization.

152285232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1162 (or 1156 counting only the distinct ones).

The product of its digits is 9600, while the sum is 30.

The square root of 152285232 is about 12340.3902693553. The cubic root of 152285232 is about 534.0139428810.

The spelling of 152285232 in words is "one hundred fifty-two million, two hundred eighty-five thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 379 528 758 761 1137 1516 1522 2274 2283 3032 3044 4169 4548 4566 6064 6088 8338 8371 9096 9132 12176 12507 16676 16742 18192 18264 25014 25113 33352 33484 36528 50028 50226 66704 66968 100056 100452 133936 200112 200904 288419 401808 576838 865257 1153676 1730514 2307352 3172609 3461028 4614704 6345218 6922056 9517827 12690436 13844112 19035654 25380872 38071308 50761744 76142616 152285232