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4097319104 = 26312065181
BaseRepresentation
bin1111010000111000…
…0010000011000000
3101120112211101011102
43310032002003000
531342403202404
61514323433532
7203351431514
oct36416020300
911515741142
104097319104
11181291453a
129642258a8
13503b36b98
142ac248144
1518ea9a71e
hexf43820c0

4097319104 has 28 divisors (see below), whose sum is σ = 8392899648. Its totient is φ = 1982572800.

The previous prime is 4097319103. The next prime is 4097319119. The reversal of 4097319104 is 4019137904.

It is not an unprimeable number, because it can be changed into a prime (4097319103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1030607 + ... + 1034574.

It is an arithmetic number, because the mean of its divisors is an integer number (299746416).

Almost surely, 24097319104 is an apocalyptic number.

It is an amenable number.

4097319104 is an abundant number, since it is smaller than the sum of its proper divisors (4295580544).

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

4097319104 is a wasteful number, since it uses less digits than its factorization.

4097319104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2065224 (or 2065214 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 38.

The square root of 4097319104 is about 64010.3046704201. The cubic root of 4097319104 is about 1600.1717398986.

The spelling of 4097319104 in words is "four billion, ninety-seven million, three hundred nineteen thousand, one hundred four".

Divisors: 1 2 4 8 16 31 32 62 64 124 248 496 992 1984 2065181 4130362 8260724 16521448 33042896 64020611 66085792 128041222 132171584 256082444 512164888 1024329776 2048659552 4097319104