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2420778256 = 2413101311489
BaseRepresentation
bin1001000001001010…
…0010010100010000
320020201010021110221
42100102202110100
514424204401011
61040113402424
7113663163361
oct22022422420
96221107427
102420778256
111032514596
12576869414
132c76b2390
1418d70bb68
15e27cc971
hex904a2510

2420778256 has 40 divisors (see below), whose sum is σ = 5056473240. Its totient is φ = 1116082176.

The previous prime is 2420778247. The next prime is 2420778259. The reversal of 2420778256 is 6528770242.

It can be written as a sum of positive squares in 4 ways, for example, as 238393600 + 2182384656 = 15440^2 + 46716^2 .

It is a super-3 number, since 3×24207782563 (a number of 29 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (2420778259) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 204960 + ... + 216448.

It is an arithmetic number, because the mean of its divisors is an integer number (126411831).

Almost surely, 22420778256 is an apocalyptic number.

2420778256 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

2420778256 is an abundant number, since it is smaller than the sum of its proper divisors (2635694984).

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

2420778256 is a wasteful number, since it uses less digits than its factorization.

2420778256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12523 (or 12517 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 43.

The square root of 2420778256 is about 49201.4050205886. The cubic root of 2420778256 is about 1342.7185945399.

The spelling of 2420778256 in words is "two billion, four hundred twenty million, seven hundred seventy-eight thousand, two hundred fifty-six".

Divisors: 1 2 4 8 13 16 26 52 104 208 1013 2026 4052 8104 11489 13169 16208 22978 26338 45956 52676 91912 105352 149357 183824 210704 298714 597428 1194856 2389712 11638357 23276714 46553428 93106856 151298641 186213712 302597282 605194564 1210389128 2420778256