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152646252 = 223112634397
BaseRepresentation
bin10010001100100…
…11001001101100
3101122020020021220
421012103021230
5303034140002
623051423340
73532320543
oct1106231154
9348206256
10152646252
117918a430
1243154b50
1325817535
14163b715a
15d6037bc
hex919326c

152646252 has 48 divisors (see below), whose sum is σ = 390120192. Its totient is φ = 46070080.

The previous prime is 152646251. The next prime is 152646287. The reversal of 152646252 is 252646251.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (152646251) 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, 32518 + ... + 36914.

It is an arithmetic number, because the mean of its divisors is an integer number (8127504).

Almost surely, 2152646252 is an apocalyptic number.

152646252 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 152646252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195060096).

152646252 is an abundant number, since it is smaller than the sum of its proper divisors (237473940).

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

152646252 is a wasteful number, since it uses less digits than its factorization.

152646252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4678 (or 4676 counting only the distinct ones).

The product of its digits is 28800, while the sum is 33.

The square root of 152646252 is about 12355.0091865607. The cubic root of 152646252 is about 534.4356024289.

Subtracting 152646252 from its reverse (252646251), we obtain a palindrome (99999999).

The spelling of 152646252 in words is "one hundred fifty-two million, six hundred forty-six thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 263 526 789 1052 1578 2893 3156 4397 5786 8679 8794 11572 13191 17358 17588 26382 34716 48367 52764 96734 145101 193468 290202 580404 1156411 2312822 3469233 4625644 6938466 12720521 13876932 25441042 38161563 50882084 76323126 152646252