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3809275740 = 22325471932333
BaseRepresentation
bin1110001100001100…
…1110111101011100
3100211110211020221200
43203003032331130
530300133310430
61425553555500
7163253211114
oct34303167534
910743736850
103809275740
111685267276
128a3875b90
1348926441a
14281ca8044
1517464e460
hexe30cef5c

3809275740 has 144 divisors (see below), whose sum is σ = 11866877568. Its totient is φ = 988618752.

The previous prime is 3809275733. The next prime is 3809275747. The reversal of 3809275740 is 475729083.

It is an interprime number because it is at equal distance from previous prime (3809275733) and next prime (3809275747).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3809275747) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1631614 + ... + 1633946.

It is an arithmetic number, because the mean of its divisors is an integer number (82408872).

Almost surely, 23809275740 is an apocalyptic number.

3809275740 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3809275740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5933438784).

3809275740 is an abundant number, since it is smaller than the sum of its proper divisors (8057601828).

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

3809275740 is a wasteful number, since it uses less digits than its factorization.

3809275740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2588 (or 2583 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The square root of 3809275740 is about 61719.3303592967. The cubic root of 3809275740 is about 1561.7594300861.

The spelling of 3809275740 in words is "three billion, eight hundred nine million, two hundred seventy-five thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 47 60 90 94 141 180 188 193 235 282 386 423 470 564 579 705 772 846 940 965 1158 1410 1692 1737 1930 2115 2316 2333 2820 2895 3474 3860 4230 4666 5790 6948 6999 8460 8685 9071 9332 11580 11665 13998 17370 18142 20997 23330 27213 27996 34740 34995 36284 41994 45355 46660 54426 69990 81639 83988 90710 104985 108852 109651 136065 139980 163278 181420 209970 219302 272130 326556 328953 408195 419940 438604 450269 544260 548255 657906 816390 900538 986859 1096510 1315812 1350807 1632780 1644765 1801076 1973718 2193020 2251345 2701614 3289530 3947436 4052421 4502690 4934295 5403228 6579060 6754035 8104842 9005380 9868590 13508070 16209684 19737180 20262105 21162643 27016140 40524210 42325286 63487929 81048420 84650572 105813215 126975858 190463787 211626430 253951716 317439645 380927574 423252860 634879290 761855148 952318935 1269758580 1904637870 3809275740