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2042028306 = 234193072161
BaseRepresentation
bin111100110110110…
…1110000100010010
312021022102210020000
41321231232010102
513140224401211
6534343430430
7101413645203
oct17155560422
95238383200
102042028306
119587430aa
1248ba55416
132670a1196
141552b95aa
15be415656
hex79b6e112

2042028306 has 80 divisors (see below), whose sum is σ = 4834404960. Its totient is φ = 642453120.

The previous prime is 2042028281. The next prime is 2042028319. The reversal of 2042028306 is 6038202402.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 2042028306.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 943866 + ... + 946026.

It is an arithmetic number, because the mean of its divisors is an integer number (60430062).

Almost surely, 22042028306 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2042028306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2417202480).

2042028306 is an abundant number, since it is smaller than the sum of its proper divisors (2792376654).

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

2042028306 is a wasteful number, since it uses less digits than its factorization.

2042028306 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2501 (or 2492 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 2042028306 is about 45188.8073088901. The cubic root of 2042028306 is about 1268.6853335124.

The spelling of 2042028306 in words is "two billion, forty-two million, twenty-eight thousand, three hundred six".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 81 114 162 171 307 342 513 614 921 1026 1539 1842 2161 2763 3078 4322 5526 5833 6483 8289 11666 12966 16578 17499 19449 24867 34998 38898 41059 49734 52497 58347 82118 104994 116694 123177 157491 175041 246354 314982 350082 369531 472473 663427 739062 944946 1108593 1326854 1990281 2217186 3325779 3980562 5970843 6651558 11941686 12605113 17912529 25210226 35825058 37815339 53737587 75630678 107475174 113446017 226892034 340338051 680676102 1021014153 2042028306