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2828778282 = 233114762253
BaseRepresentation
bin1010100010011011…
…1011101100101010
321022010211211022000
42220212323230222
521243131401112
61144410311430
7130046135001
oct25046735452
97263754260
102828778282
111221853aa0
1266b428576
13361095105
141cb995c38
151185217dc
hexa89bbb2a

2828778282 has 32 divisors (see below), whose sum is σ = 6857645760. Its totient is φ = 857205360.

The previous prime is 2828778269. The next prime is 2828778287.

2828778282 is a `hidden beast` number, since 282 + 87 + 7 + 8 + 282 = 666.

2828778282 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (2828778287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2380533 + ... + 2381720.

It is an arithmetic number, because the mean of its divisors is an integer number (214301430).

Almost surely, 22828778282 is an apocalyptic number.

2828778282 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2828778282 is an abundant number, since it is smaller than the sum of its proper divisors (4028867478).

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

2828778282 is a wasteful number, since it uses less digits than its factorization.

2828778282 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4762275 (or 4762269 counting only the distinct ones).

The product of its digits is 3211264, while the sum is 54.

The square root of 2828778282 is about 53186.2602746236. The cubic root of 2828778282 is about 1414.2720861602.

The spelling of 2828778282 in words is "two billion, eight hundred twenty-eight million, seven hundred seventy-eight thousand, two hundred eighty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 297 594 4762253 9524506 14286759 28573518 42860277 52384783 85720554 104769566 128580831 157154349 257161662 314308698 471463047 942926094 1414389141 2828778282