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4000923090 = 2325416716183
BaseRepresentation
bin1110111001111001…
…0011110111010010
3101022211102221200200
43232132103313102
531143214014330
61501001400030
7201101166543
oct35636236722
911284387620
104000923090
11177346480a
12937a99016
134b9b85918
1429d5144ca
151863a8a60
hexee793dd2

4000923090 has 96 divisors (see below), whose sum is σ = 10815831936. Its totient is φ = 1025291520.

The previous prime is 4000923077. The next prime is 4000923107. The reversal of 4000923090 is 903290004.

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, 239139 + ... + 255321.

It is an arithmetic number, because the mean of its divisors is an integer number (112664916).

Almost surely, 24000923090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4000923090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5407915968).

4000923090 is an abundant number, since it is smaller than the sum of its proper divisors (6814908846).

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

4000923090 is a wasteful number, since it uses less digits than its factorization.

4000923090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16304 (or 16301 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 4000923090 is about 63252.8504496042. The cubic root of 4000923090 is about 1587.5231520793.

The spelling of 4000923090 in words is "four billion, nine hundred twenty-three thousand, ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 41 45 67 82 90 123 134 201 205 246 335 369 402 410 603 615 670 738 1005 1206 1230 1845 2010 2747 3015 3690 5494 6030 8241 13735 16183 16482 24723 27470 32366 41205 48549 49446 80915 82410 97098 123615 145647 161830 242745 247230 291294 485490 663503 728235 1084261 1327006 1456470 1990509 2168522 3252783 3317515 3981018 5421305 5971527 6505566 6635030 9758349 9952545 10842610 11943054 16263915 19516698 19905090 29857635 32527830 44454701 48791745 59715270 88909402 97583490 133364103 222273505 266728206 400092309 444547010 666820515 800184618 1333641030 2000461545 4000923090