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2126052828 = 2232101584723
BaseRepresentation
bin111111010111000…
…1111110111011100
312111011112200012100
41332232033313130
513323232142303
6550544405100
7103454102514
oct17656176734
95434480170
102126052828
119a1112a59
124b4016790
1327b610333
1416250c844
15c69b18a3
hex7eb8fddc

2126052828 has 36 divisors (see below), whose sum is σ = 5427408168. Its totient is φ = 701666400.

The previous prime is 2126052811. The next prime is 2126052919. The reversal of 2126052828 is 8282506212.

2126052828 is a `hidden beast` number, since 2 + 1 + 2 + 605 + 28 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

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

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

It is a junction number, because it is equal to n+sod(n) for n = 2126052792 and 2126052801.

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, 288726 + ... + 295997.

It is an arithmetic number, because the mean of its divisors is an integer number (150761338).

Almost surely, 22126052828 is an apocalyptic number.

It is an amenable number.

2126052828 is an abundant number, since it is smaller than the sum of its proper divisors (3301355340).

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

2126052828 is a wasteful number, since it uses less digits than its factorization.

2126052828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 584834 (or 584829 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 2126052828 is about 46109.1403953706. The cubic root of 2126052828 is about 1285.8530831957.

It can be divided in two parts, 21260 and 52828, that added together give a cube (74088 = 423).

The spelling of 2126052828 in words is "two billion, one hundred twenty-six million, fifty-two thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 101 202 303 404 606 909 1212 1818 3636 584723 1169446 1754169 2338892 3508338 5262507 7016676 10525014 21050028 59057023 118114046 177171069 236228092 354342138 531513207 708684276 1063026414 2126052828