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2828337225 = 35279535653
BaseRepresentation
bin1010100010010101…
…0000000001001001
321022010000102021120
42220211100001021
521243023242400
61144353025453
7130042320060
oct25045200111
97263012246
102828337225
11122158268a
1266b255289
13360c6c42c
141cb8bd1d7
15118485ca0
hexa8950049

2828337225 has 48 divisors (see below), whose sum is σ = 5350764672. Its totient is φ = 1291368960.

The previous prime is 2828337203. The next prime is 2828337227. The reversal of 2828337225 is 5227338282.

It is a happy number.

It is not a de Polignac number, because 2828337225 - 27 = 2828337097 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2828337227) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 497499 + ... + 503151.

It is an arithmetic number, because the mean of its divisors is an integer number (111474264).

Almost surely, 22828337225 is an apocalyptic number.

2828337225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2828337225 is a deficient number, since it is larger than the sum of its proper divisors (2522427447).

2828337225 is a wasteful number, since it uses less digits than its factorization.

2828337225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6626 (or 6621 counting only the distinct ones).

The product of its digits is 322560, while the sum is 42.

The square root of 2828337225 is about 53182.1137695748. The cubic root of 2828337225 is about 1414.1985789233.

The spelling of 2828337225 in words is "two billion, eight hundred twenty-eight million, three hundred thirty-seven thousand, two hundred twenty-five".

Divisors: 1 3 5 7 15 21 25 35 75 105 175 525 953 2859 4765 5653 6671 14295 16959 20013 23825 28265 33355 39571 71475 84795 100065 118713 141325 166775 197855 423975 500325 593565 989275 2967825 5387309 16161927 26936545 37711163 80809635 113133489 134682725 188555815 404048175 565667445 942779075 2828337225