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525315280 = 24572294621
BaseRepresentation
bin11111010011111…
…010110011010000
31100121110210002111
4133103322303100
52033440042110
6124043155104
716006051300
oct3723726320
91317423074
10525315280
1124a588166
12127b15a94
1384aa9959
144daa5600
15311b8e8a
hex1f4facd0

525315280 has 120 divisors (see below), whose sum is σ = 1470073320. Its totient is φ = 173859840.

The previous prime is 525315269. The next prime is 525315281. The reversal of 525315280 is 82513525.

It can be written as a sum of positive squares in 4 ways, for example, as 37258816 + 488056464 = 6104^2 + 22092^2 .

It is a super-3 number, since 3×5253152803 (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (525315281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 111370 + ... + 115990.

It is an arithmetic number, because the mean of its divisors is an integer number (12250611).

Almost surely, 2525315280 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 525315280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (735036660).

525315280 is an abundant number, since it is smaller than the sum of its proper divisors (944758040).

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

525315280 is a wasteful number, since it uses less digits than its factorization.

525315280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4677 (or 4664 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 31.

The square root of 525315280 is about 22919.7574158192. The cubic root of 525315280 is about 806.8757769776.

The spelling of 525315280 in words is "five hundred twenty-five million, three hundred fifteen thousand, two hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 29 35 40 49 56 58 70 80 98 112 116 140 145 196 203 232 245 280 290 392 406 464 490 560 580 784 812 980 1015 1160 1421 1624 1960 2030 2320 2842 3248 3920 4060 4621 5684 7105 8120 9242 11368 14210 16240 18484 22736 23105 28420 32347 36968 46210 56840 64694 73936 92420 113680 129388 134009 161735 184840 226429 258776 268018 323470 369680 452858 517552 536036 646940 670045 905716 938063 1072072 1132145 1293880 1340090 1811432 1876126 2144144 2264290 2587760 2680180 3622864 3752252 4528580 4690315 5360360 6566441 7504504 9057160 9380630 10720720 13132882 15009008 18114320 18761260 26265764 32832205 37522520 52531528 65664410 75045040 105063056 131328820 262657640 525315280