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530205456 = 243112693733
BaseRepresentation
bin11111100110100…
…100101100010000
31100221200020011010
4133212210230100
52041213033311
6124340050520
716065446334
oct3746445420
91327606133
10530205456
11252318230
12129693a40
1385acc751
14505b97c4
1531832da6
hex1f9a4b10

530205456 has 80 divisors (see below), whose sum is σ = 1500171840. Its totient is φ = 160028160.

The previous prime is 530205443. The next prime is 530205457. The reversal of 530205456 is 654502035.

It is a super-2 number, since 2×5302054562 = 562235651144335872, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (530205457) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 140166 + ... + 143898.

It is an arithmetic number, because the mean of its divisors is an integer number (18752148).

Almost surely, 2530205456 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 530205456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (750085920).

530205456 is an abundant number, since it is smaller than the sum of its proper divisors (969966384).

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

530205456 is a wasteful number, since it uses less digits than its factorization.

530205456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4024 (or 4018 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 30.

The square root of 530205456 is about 23026.1906532540. The cubic root of 530205456 is about 809.3717915249.

The spelling of 530205456 in words is "five hundred thirty million, two hundred five thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 269 528 538 807 1076 1614 2152 2959 3228 3733 4304 5918 6456 7466 8877 11199 11836 12912 14932 17754 22398 23672 29864 35508 41063 44796 47344 59728 71016 82126 89592 123189 142032 164252 179184 246378 328504 492756 657008 985512 1004177 1971024 2008354 3012531 4016708 6025062 8033416 11045947 12050124 16066832 22091894 24100248 33137841 44183788 48200496 66275682 88367576 132551364 176735152 265102728 530205456