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525427296 = 253171731861
BaseRepresentation
bin11111010100010…
…110001001100000
31100121200110202020
4133110112021200
52034002133141
6124045421440
716010026002
oct3724261140
91317613666
10525427296
1124a654339
12127b6a880
1384b18934
144dad4372
15311dc266
hex1f516260

525427296 has 96 divisors (see below), whose sum is σ = 1469609568. Its totient is φ = 163799040.

The previous prime is 525427291. The next prime is 525427297. The reversal of 525427296 is 692724525.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (525427291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 281406 + ... + 283266.

It is an arithmetic number, because the mean of its divisors is an integer number (15308433).

Almost surely, 2525427296 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 525427296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (734804784).

525427296 is an abundant number, since it is smaller than the sum of its proper divisors (944182272).

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

525427296 is a wasteful number, since it uses less digits than its factorization.

525427296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2064 (or 2056 counting only the distinct ones).

The product of its digits is 302400, while the sum is 42.

The square root of 525427296 is about 22922.2009414454. The cubic root of 525427296 is about 806.9331244899.

The spelling of 525427296 in words is "five hundred twenty-five million, four hundred twenty-seven thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 173 204 272 346 408 519 544 692 816 1038 1384 1632 1861 2076 2768 2941 3722 4152 5536 5583 5882 7444 8304 8823 11166 11764 14888 16608 17646 22332 23528 29776 31637 35292 44664 47056 59552 63274 70584 89328 94112 94911 126548 141168 178656 189822 253096 282336 321953 379644 506192 643906 759288 965859 1012384 1287812 1518576 1931718 2575624 3037152 3863436 5151248 5473201 7726872 10302496 10946402 15453744 16419603 21892804 30907488 32839206 43785608 65678412 87571216 131356824 175142432 262713648 525427296