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2042892940 = 2251171130787
BaseRepresentation
bin111100111000100…
…0001001010001100
312021101001201021111
41321301001022030
513140440033230
6534414141404
7101424206044
oct17161011214
95241051244
102042892940
11959183780
124901b1864
132673148ba
14155462724
15be53692a
hex79c4128c

2042892940 has 48 divisors (see below), whose sum is σ = 4746034944. Its totient is φ = 732401600.

The previous prime is 2042892923. The next prime is 2042892947. The reversal of 2042892940 is 492982402.

It is a junction number, because it is equal to n+sod(n) for n = 2042892893 and 2042892902.

It is not an unprimeable number, because it can be changed into a prime (2042892947) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49774 + ... + 81013.

It is an arithmetic number, because the mean of its divisors is an integer number (98875728).

Almost surely, 22042892940 is an apocalyptic number.

2042892940 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2042892940 is an abundant number, since it is smaller than the sum of its proper divisors (2703142004).

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

2042892940 is a wasteful number, since it uses less digits than its factorization.

2042892940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130878 (or 130876 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 40.

The square root of 2042892940 is about 45198.3732008133. The cubic root of 2042892940 is about 1268.8643701570.

The spelling of 2042892940 in words is "two billion, forty-two million, eight hundred ninety-two thousand, nine hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 71 110 142 220 284 355 710 781 1420 1562 3124 3905 7810 15620 130787 261574 523148 653935 1307870 1438657 2615740 2877314 5754628 7193285 9285877 14386570 18571754 28773140 37143508 46429385 92858770 102144647 185717540 204289294 408578588 510723235 1021446470 2042892940