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3900746682 = 2327375315787
BaseRepresentation
bin1110100010000000…
…1010101110111010
3101001211221110111100
43220200022232322
530442042343212
61443022312230
7165443541210
oct35040125672
911054843440
103900746682
111721962798
1290a428676
134a21aca41
142900b8cb0
1517c6bbbdc
hexe880abba

3900746682 has 96 divisors (see below), whose sum is σ = 10107856512. Its totient is φ = 1063850112.

The previous prime is 3900746669. The next prime is 3900746693. The reversal of 3900746682 is 2866470093.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 239193 + ... + 254979.

It is an arithmetic number, because the mean of its divisors is an integer number (105290172).

Almost surely, 23900746682 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3900746682, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5053928256).

3900746682 is an abundant number, since it is smaller than the sum of its proper divisors (6207109830).

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

3900746682 is a wasteful number, since it uses less digits than its factorization.

3900746682 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15892 (or 15889 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 3900746682 is about 62455.9579383745. The cubic root of 3900746682 is about 1574.1613651745.

The spelling of 3900746682 in words is "three billion, nine hundred million, seven hundred forty-six thousand, six hundred eighty-two".

Divisors: 1 2 3 6 7 9 14 18 21 37 42 53 63 74 106 111 126 159 222 259 318 333 371 477 518 666 742 777 954 1113 1554 1961 2226 2331 3339 3922 4662 5883 6678 11766 13727 15787 17649 27454 31574 35298 41181 47361 82362 94722 110509 123543 142083 221018 247086 284166 331527 584119 663054 836711 994581 1168238 1673422 1752357 1989162 2510133 3504714 4088833 5020266 5257071 5856977 7530399 8177666 10514142 11713954 12266499 15060798 17570931 24532998 30958307 35141862 36799497 52712793 61916614 73598994 92874921 105425586 185749842 216708149 278624763 433416298 557249526 650124447 1300248894 1950373341 3900746682