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2520338256 = 243253330233
BaseRepresentation
bin1001011000111001…
…0100111101010000
320111122110110010100
42112032110331100
520130201311011
61054031332400
7116312343642
oct22616247520
96448413110
102520338256
111083735487
125a4081100
13312200817
1419ca26892
15eb3e6d56
hex96394f50

2520338256 has 60 divisors (see below), whose sum is σ = 7186552308. Its totient is φ = 824259072.

The previous prime is 2520338237. The next prime is 2520338257. The reversal of 2520338256 is 6528330252.

2520338256 is a `hidden beast` number, since 2 + 520 + 3 + 3 + 82 + 56 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1753934400 + 766403856 = 41880^2 + 27684^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2520338256.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2520338257) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 157485 + ... + 172748.

Almost surely, 22520338256 is an apocalyptic number.

It is an amenable number.

2520338256 is an abundant number, since it is smaller than the sum of its proper divisors (4666214052).

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

2520338256 is a wasteful number, since it uses less digits than its factorization.

2520338256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330300 (or 330291 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 2520338256 is about 50202.9705893984. The cubic root of 2520338256 is about 1360.8793073709.

The spelling of 2520338256 in words is "two billion, five hundred twenty million, three hundred thirty-eight thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 53 72 106 144 159 212 318 424 477 636 848 954 1272 1908 2544 3816 7632 330233 660466 990699 1320932 1981398 2641864 2972097 3962796 5283728 5944194 7925592 11888388 15851184 17502349 23776776 35004698 47553552 52507047 70009396 105014094 140018792 157521141 210028188 280037584 315042282 420056376 630084564 840112752 1260169128 2520338256