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530085200 = 24522945697
BaseRepresentation
bin11111100110000…
…111010101010000
31100221110010012012
4133212013111100
52041200211300
6124333322052
716064435621
oct3746072520
91327403165
10530085200
11252245947
12129636328
1385a89aa8
1450587a48
153180c435
hex1f987550

530085200 has 60 divisors (see below), whose sum is σ = 1317473340. Its totient is φ = 204718080.

The previous prime is 530085191. The next prime is 530085217. The reversal of 530085200 is 2580035.

It can be written as a sum of positive squares in 6 ways, for example, as 21492496 + 508592704 = 4636^2 + 22552^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11249 + ... + 34448.

It is an arithmetic number, because the mean of its divisors is an integer number (21957889).

Almost surely, 2530085200 is an apocalyptic number.

530085200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

530085200 is an abundant number, since it is smaller than the sum of its proper divisors (787388140).

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

530085200 is a wasteful number, since it uses less digits than its factorization.

530085200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45744 (or 45733 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 23.

The square root of 530085200 is about 23023.5792178367. The cubic root of 530085200 is about 809.3105956415.

The spelling of 530085200 in words is "five hundred thirty million, eighty-five thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 29 40 50 58 80 100 116 145 200 232 290 400 464 580 725 1160 1450 2320 2900 5800 11600 45697 91394 182788 228485 365576 456970 731152 913940 1142425 1325213 1827880 2284850 2650426 3655760 4569700 5300852 6626065 9139400 10601704 13252130 18278800 21203408 26504260 33130325 53008520 66260650 106017040 132521300 265042600 530085200