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532725128 = 2313291731021
BaseRepresentation
bin11111110000001…
…011110110001000
31101010102020111022
4133300023312020
52042334201003
6124510052012
716126042325
oct3760136610
91333366438
10532725128
11253789301
1212a4aa008
13864a2590
1450a73b4c
1531b7e738
hex1fc0bd88

532725128 has 64 divisors (see below), whose sum is σ = 1120316400. Its totient is φ = 235791360.

The previous prime is 532725121. The next prime is 532725133. The reversal of 532725128 is 821527235.

It can be written as a sum of positive squares in 8 ways, for example, as 318336964 + 214388164 = 17842^2 + 14642^2 .

It is not an unprimeable number, because it can be changed into a prime (532725121) 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, 521258 + ... + 522278.

Almost surely, 2532725128 is an apocalyptic number.

532725128 is a gapful number since it is divisible by the number (58) 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 532725128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560158200).

532725128 is an abundant number, since it is smaller than the sum of its proper divisors (587591272).

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

532725128 is a wasteful number, since it uses less digits than its factorization.

532725128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1242 (or 1238 counting only the distinct ones).

The product of its digits is 33600, while the sum is 35.

The square root of 532725128 is about 23080.8389795518. The cubic root of 532725128 is about 810.6518798460.

The spelling of 532725128 in words is "five hundred thirty-two million, seven hundred twenty-five thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 13 26 29 52 58 104 116 173 232 346 377 692 754 1021 1384 1508 2042 2249 3016 4084 4498 5017 8168 8996 10034 13273 17992 20068 26546 29609 40136 53092 59218 65221 106184 118436 130442 176633 236872 260884 353266 384917 521768 706532 769834 1413064 1539668 2296229 3079336 4592458 5122357 9184916 10244714 18369832 20489428 40978856 66590641 133181282 266362564 532725128