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2906885064 = 233295378803
BaseRepresentation
bin1010110101000011…
…1000101111001000
321111120211001122210
42231100320233020
521423130310224
61200240345120
7132015054366
oct25520705710
97446731583
102906885064
111261951856
126916151a0
13374311845
141d80c8636
151202ee429
hexad438bc8

2906885064 has 64 divisors (see below), whose sum is σ = 7659748800. Its totient is φ = 917885696.

The previous prime is 2906884979. The next prime is 2906885083. The reversal of 2906885064 is 4605886092.

It is a happy 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, 2514 + ... + 76289.

It is an arithmetic number, because the mean of its divisors is an integer number (119683575).

Almost surely, 22906885064 is an apocalyptic number.

2906885064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2906885064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3829874400).

2906885064 is an abundant number, since it is smaller than the sum of its proper divisors (4752863736).

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

2906885064 is a wasteful number, since it uses less digits than its factorization.

2906885064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78894 (or 78890 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 48.

The square root of 2906885064 is about 53915.5363879467. The cubic root of 2906885064 is about 1427.1708067307.

The spelling of 2906885064 in words is "two billion, nine hundred six million, eight hundred eighty-five thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 24 29 53 58 87 106 116 159 174 212 232 318 348 424 636 696 1272 1537 3074 4611 6148 9222 12296 18444 36888 78803 157606 236409 315212 472818 630424 945636 1891272 2285287 4176559 4570574 6855861 8353118 9141148 12529677 13711722 16706236 18282296 25059354 27423444 33412472 50118708 54846888 100237416 121120211 242240422 363360633 484480844 726721266 968961688 1453442532 2906885064