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2928819426 = 2313313173821
BaseRepresentation
bin1010111010010010…
…0011110011100010
321120010002102221120
42232210203303202
521444234210201
61202342433110
7132402361101
oct25644436342
97503072846
102928819426
111273273425
12698a32796
13378a21560
141dad98038
151221d3536
hexae923ce2

2928819426 has 64 divisors (see below), whose sum is σ = 6533968896. Its totient is φ = 869126400.

The previous prime is 2928819409. The next prime is 2928819433. The reversal of 2928819426 is 6249188292.

2928819426 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×29288194262 = 17155966460229938952, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 764596 + ... + 768416.

It is an arithmetic number, because the mean of its divisors is an integer number (102093264).

Almost surely, 22928819426 is an apocalyptic number.

2928819426 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2928819426, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3266984448).

2928819426 is an abundant number, since it is smaller than the sum of its proper divisors (3605149470).

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

2928819426 is a wasteful number, since it uses less digits than its factorization.

2928819426 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4187.

The product of its digits is 995328, while the sum is 51.

The square root of 2928819426 is about 54118.5682183112. The cubic root of 2928819426 is about 1430.7514634822.

The spelling of 2928819426 in words is "two billion, nine hundred twenty-eight million, eight hundred nineteen thousand, four hundred twenty-six".

Divisors: 1 2 3 6 13 26 31 39 62 78 93 186 317 403 634 806 951 1209 1902 2418 3821 4121 7642 8242 9827 11463 12363 19654 22926 24726 29481 49673 58962 99346 118451 127751 149019 236902 255502 298038 355353 383253 710706 766506 1211257 1539863 2422514 3079726 3633771 4619589 7267542 9239178 15746341 31492682 37548967 47239023 75097934 94478046 112646901 225293802 488136571 976273142 1464409713 2928819426