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2906290828 = 2271753115201
BaseRepresentation
bin1010110100111010…
…0111101010001100
321111112200212112001
42231032213222030
521423002301303
61200215522044
7132010031050
oct25516475214
97445625461
102906290828
111261586351
12691389324
1337416421c
141d7db1c60
1512023331d
hexad3a7a8c

2906290828 has 48 divisors (see below), whose sum is σ = 6270675264. Its totient is φ = 1150156800.

The previous prime is 2906290801. The next prime is 2906290831. The reversal of 2906290828 is 8280926092.

It is a happy number.

It is an unprimeable number.

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, 32373 + ... + 82828.

It is an arithmetic number, because the mean of its divisors is an integer number (130639068).

Almost surely, 22906290828 is an apocalyptic number.

2906290828 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2906290828 is an abundant number, since it is smaller than the sum of its proper divisors (3364384436).

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

2906290828 is a wasteful number, since it uses less digits than its factorization.

2906290828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115282 (or 115280 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 46.

The square root of 2906290828 is about 53910.0253014224. The cubic root of 2906290828 is about 1427.0735509571.

The spelling of 2906290828 in words is "two billion, nine hundred six million, two hundred ninety thousand, eight hundred twenty-eight".

Divisors: 1 2 4 7 14 17 28 34 53 68 106 119 212 238 371 476 742 901 1484 1802 3604 6307 12614 25228 115201 230402 460804 806407 1612814 1958417 3225628 3916834 6105653 7833668 12211306 13708919 24422612 27417838 42739571 54835676 85479142 103796101 170958284 207592202 415184404 726572707 1453145414 2906290828