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820252015 = 51122765699
BaseRepresentation
bin110000111001000…
…000110101101111
32010011110010020021
4300321000311233
53134441031030
6213220503011
726220012202
oct6071006557
92104403207
10820252015
11391013530
121aa84aa67
13100c23c2b
147ad1b939
154c02797a
hex30e40d6f

820252015 has 16 divisors (see below), whose sum is σ = 1078531200. Its totient is φ = 593909920.

The previous prime is 820251997. The next prime is 820252051. The reversal of 820252015 is 510252028.

820252015 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 820252015 - 211 = 820249967 is a prime.

It is a super-2 number, since 2×8202520152 = 1345626736223120450, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20365 + ... + 45334.

It is an arithmetic number, because the mean of its divisors is an integer number (67408200).

Almost surely, 2820252015 is an apocalyptic number.

820252015 is a deficient number, since it is larger than the sum of its proper divisors (258279185).

820252015 is a wasteful number, since it uses less digits than its factorization.

820252015 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65942.

The product of its (nonzero) digits is 1600, while the sum is 25.

The square root of 820252015 is about 28640.0421612818. The cubic root of 820252015 is about 936.0860401189.

The spelling of 820252015 in words is "eight hundred twenty million, two hundred fifty-two thousand, fifteen".

Divisors: 1 5 11 55 227 1135 2497 12485 65699 328495 722689 3613445 14913673 74568365 164050403 820252015