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532152 = 233219389
BaseRepresentation
bin10000001111010111000
31000000222100
42001322320
5114012102
615223400
74344315
oct2017270
91000870
10532152
113338a5
12217b60
131582aa
14dbd0c
15a7a1c
hex81eb8

532152 has 48 divisors (see below), whose sum is σ = 1521000. Its totient is φ = 167616.

The previous prime is 532141. The next prime is 532153. The reversal of 532152 is 251235.

It is a happy number.

It is a super-2 number, since 2×5321522 = 566371502208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a d-powerful number, because it can be written as 5 + 312 + 1 + 24 + 54 + 26 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (532153) by changing a digit.

532152 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1174 + ... + 1562.

2532152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 532152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (760500).

532152 is an abundant number, since it is smaller than the sum of its proper divisors (988848).

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

532152 is a wasteful number, since it uses less digits than its factorization.

532152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420 (or 413 counting only the distinct ones).

The product of its digits is 300, while the sum is 18.

The square root of 532152 is about 729.4874913252. The cubic root of 532152 is about 81.0361064451.

Adding to 532152 its reverse (251235), we get a palindrome (783387).

The spelling of 532152 in words is "five hundred thirty-two thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 76 114 152 171 228 342 389 456 684 778 1167 1368 1556 2334 3112 3501 4668 7002 7391 9336 14004 14782 22173 28008 29564 44346 59128 66519 88692 133038 177384 266076 532152