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2024263072 = 2513328793
BaseRepresentation
bin111100010100111…
…1100110110100000
312020002000012220101
41320221330312200
513121202404242
6532510552144
7101106644416
oct17051746640
95202005811
102024263072
11949709897
12485b08654
132634c1000
14152bb32b6
15bcaa69b7
hex78a7cda0

2024263072 has 48 divisors (see below), whose sum is σ = 4317372360. Its totient is φ = 934242816.

The previous prime is 2024263067. The next prime is 2024263121. The reversal of 2024263072 is 2703624202.

It can be written as a sum of positive squares in 4 ways, for example, as 13278736 + 2010984336 = 3644^2 + 44844^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2024263072.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55908 + ... + 84700.

Almost surely, 22024263072 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 2024263072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2158686180).

2024263072 is an abundant number, since it is smaller than the sum of its proper divisors (2293109288).

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

2024263072 is an equidigital number, since it uses as much as digits as its factorization.

2024263072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28842 (or 28808 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 28.

The square root of 2024263072 is about 44991.8111660333. The cubic root of 2024263072 is about 1264.9955104071.

Adding to 2024263072 its reverse (2703624202), we get a palindrome (4727887274).

The spelling of 2024263072 in words is "two billion, twenty-four million, two hundred sixty-three thousand, seventy-two".

Divisors: 1 2 4 8 13 16 26 32 52 104 169 208 338 416 676 1352 2197 2704 4394 5408 8788 17576 28793 35152 57586 70304 115172 230344 374309 460688 748618 921376 1497236 2994472 4866017 5988944 9732034 11977888 19464068 38928136 63258221 77856272 126516442 155712544 253032884 506065768 1012131536 2024263072