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525932680 = 235721320641
BaseRepresentation
bin11111010110010…
…001100010001000
31100122122011000011
4133112101202020
52034114321210
6124104321304
716014232300
oct3726214210
91318564004
10525932680
1124a96a009
12128173234
1384c64990
144dbc6600
153128bd8a
hex1f591888

525932680 has 96 divisors (see below), whose sum is σ = 1482508440. Its totient is φ = 166440960.

The previous prime is 525932677. The next prime is 525932741. The reversal of 525932680 is 86239525.

It can be written as a sum of positive squares in 4 ways, for example, as 229886244 + 296046436 = 15162^2 + 17206^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 15160 + ... + 35800.

Almost surely, 2525932680 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 525932680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (741254220).

525932680 is an abundant number, since it is smaller than the sum of its proper divisors (956575760).

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

525932680 is a wasteful number, since it uses less digits than its factorization.

525932680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20679 (or 20668 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 40.

The square root of 525932680 is about 22933.2221896532. Note that the first 3 decimals coincide. The cubic root of 525932680 is about 807.1917586921.

The spelling of 525932680 in words is "five hundred twenty-five million, nine hundred thirty-two thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 35 40 49 52 56 65 70 91 98 104 130 140 182 196 245 260 280 364 392 455 490 520 637 728 910 980 1274 1820 1960 2548 3185 3640 5096 6370 12740 20641 25480 41282 82564 103205 144487 165128 206410 268333 288974 412820 536666 577948 722435 825640 1011409 1073332 1155896 1341665 1444870 1878331 2022818 2146664 2683330 2889740 3756662 4045636 5057045 5366660 5779480 7513324 8091272 9391655 10114090 10733320 13148317 15026648 18783310 20228180 26296634 37566620 40456360 52593268 65741585 75133240 105186536 131483170 262966340 525932680