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532537096 = 237213313371
BaseRepresentation
bin11111101111011…
…101111100001000
31101010001200120011
4133233131330020
52042312141341
6124502041304
716124330200
oct3757357410
91333050504
10532537096
11253670003
1212a419234
1386437b10
1450a25400
1531b43b81
hex1fbddf08

532537096 has 96 divisors (see below), whose sum is σ = 1291610880. Its totient is φ = 203817600.

The previous prime is 532537091. The next prime is 532537097. The reversal of 532537096 is 690735235.

It is a super-2 number, since 2×5325370962 = 567191517232226432, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (532537091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 156291 + ... + 159661.

It is an arithmetic number, because the mean of its divisors is an integer number (13454280).

Almost surely, 2532537096 is an apocalyptic number.

532537096 is a gapful number since it is divisible by the number (56) 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 532537096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (645805440).

532537096 is an abundant number, since it is smaller than the sum of its proper divisors (759073784).

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

532537096 is a wasteful number, since it uses less digits than its factorization.

532537096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3435 (or 3424 counting only the distinct ones).

The product of its (nonzero) digits is 170100, while the sum is 40.

The square root of 532537096 is about 23076.7652845887. The cubic root of 532537096 is about 810.5564920475.

The spelling of 532537096 in words is "five hundred thirty-two million, five hundred thirty-seven thousand, ninety-six".

Divisors: 1 2 4 7 8 13 14 26 28 31 49 52 56 62 91 98 104 124 182 196 217 248 364 392 403 434 637 728 806 868 1274 1519 1612 1736 2548 2821 3038 3224 3371 5096 5642 6076 6742 11284 12152 13484 19747 22568 23597 26968 39494 43823 47194 78988 87646 94388 104501 157976 165179 175292 188776 209002 306761 330358 350584 418004 613522 660716 731507 836008 1227044 1321432 1358513 1463014 2147327 2454088 2717026 2926028 4294654 5120549 5434052 5852056 8589308 9509591 10241098 10868104 17178616 19019182 20482196 38038364 40964392 66567137 76076728 133134274 266268548 532537096