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531325152 = 25322238273
BaseRepresentation
bin11111101010110…
…110000011100000
31101000210010002100
4133222312003200
52042004401102
6124420050400
716111121631
oct3752660340
91330703070
10531325152
11252a124a6
12129b33a00
13861022a7
14507cb888
15319a4a1c
hex1fab60e0

531325152 has 72 divisors (see below), whose sum is σ = 1517914944. Its totient is φ = 176292864.

The previous prime is 531325133. The next prime is 531325169. The reversal of 531325152 is 251523135.

It is a happy number.

531325152 is a `hidden beast` number, since 531 + 32 + 51 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 60088 + ... + 68360.

It is an arithmetic number, because the mean of its divisors is an integer number (21082152).

Almost surely, 2531325152 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 531325152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (758957472).

531325152 is an abundant number, since it is smaller than the sum of its proper divisors (986589792).

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

531325152 is a wasteful number, since it uses less digits than its factorization.

531325152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8512 (or 8501 counting only the distinct ones).

The product of its digits is 4500, while the sum is 27.

The square root of 531325152 is about 23050.4913613571. The cubic root of 531325152 is about 809.9411388412.

Adding to 531325152 its reverse (251523135), we get a palindrome (782848287).

The spelling of 531325152 in words is "five hundred thirty-one million, three hundred twenty-five thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 223 288 446 669 892 1338 1784 2007 2676 3568 4014 5352 7136 8028 8273 10704 16056 16546 21408 24819 32112 33092 49638 64224 66184 74457 99276 132368 148914 198552 264736 297828 397104 595656 794208 1191312 1844879 2382624 3689758 5534637 7379516 11069274 14759032 16603911 22138548 29518064 33207822 44277096 59036128 66415644 88554192 132831288 177108384 265662576 531325152