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4082739380 = 22517196131031
BaseRepresentation
bin1111001101011001…
…1010100010110100
3101112112101122112122
43303112122202310
531330140130010
61513043135112
7203113466156
oct36326324264
911475348478
104082739380
111805666585
1295b374498
13500b00925
142aa330ad6
1518d66a855
hexf359a8b4

4082739380 has 96 divisors (see below), whose sum is σ = 9580757760. Its totient is φ = 1452349440.

The previous prime is 4082739377. The next prime is 4082739421. The reversal of 4082739380 is 839372804.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3959465 + ... + 3960495.

It is an arithmetic number, because the mean of its divisors is an integer number (99799560).

Almost surely, 24082739380 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4082739380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4790378880).

4082739380 is an abundant number, since it is smaller than the sum of its proper divisors (5498018380).

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

4082739380 is a wasteful number, since it uses less digits than its factorization.

With its successor (4082739381) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (1687).

With its successor (4082739381) it forms an eRAP, since the sums of their prime factors are consecutive (1689 and 1690).

4082739380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1689 (or 1687 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 44.

The square root of 4082739380 is about 63896.3174212724. The cubic root of 4082739380 is about 1598.2714901017.

The spelling of 4082739380 in words is "four billion, eighty-two million, seven hundred thirty-nine thousand, three hundred eighty".

Divisors: 1 2 4 5 10 17 19 20 34 38 68 76 85 95 170 190 323 340 380 613 646 1031 1226 1292 1615 2062 2452 3065 3230 4124 5155 6130 6460 10310 10421 11647 12260 17527 19589 20620 20842 23294 35054 39178 41684 46588 52105 58235 70108 78356 87635 97945 104210 116470 175270 195890 197999 208420 232940 333013 350540 391780 395998 632003 666026 791996 989995 1264006 1332052 1665065 1979990 2528012 3160015 3330130 3959980 6320030 6660260 10744051 12008057 12640060 21488102 24016114 42976204 48032228 53720255 60040285 107440510 120080570 204136969 214881020 240161140 408273938 816547876 1020684845 2041369690 4082739380