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2890337912 = 2372111935279
BaseRepresentation
bin1010110001000111…
…0000111001111000
321110102200101020022
42230101300321320
521404411303122
61154445550012
7131424316100
oct25421607170
97412611208
102890337912
11125357a720
12687b75308
13370a69c27
141d5c1c200
1511db31642
hexac470e78

2890337912 has 96 divisors (see below), whose sum is σ = 7239456000. Its totient is φ = 1066806720.

The previous prime is 2890337873. The next prime is 2890337921. The reversal of 2890337912 is 2197330982.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64289 + ... + 99567.

It is an arithmetic number, because the mean of its divisors is an integer number (75411000).

Almost surely, 22890337912 is an apocalyptic number.

2890337912 is a gapful number since it is divisible by the number (22) 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 2890337912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3619728000).

2890337912 is an abundant number, since it is smaller than the sum of its proper divisors (4349118088).

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

2890337912 is a wasteful number, since it uses less digits than its factorization.

2890337912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35329 (or 35318 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 44.

The square root of 2890337912 is about 53761.8629885535. The cubic root of 2890337912 is about 1424.4576431171.

The spelling of 2890337912 in words is "two billion, eight hundred ninety million, three hundred thirty-seven thousand, nine hundred twelve".

Divisors: 1 2 4 7 8 11 14 19 22 28 38 44 49 56 76 77 88 98 133 152 154 196 209 266 308 392 418 532 539 616 836 931 1064 1078 1463 1672 1862 2156 2926 3724 4312 5852 7448 10241 11704 20482 35279 40964 70558 81928 141116 246953 282232 388069 493906 670301 776138 987812 1340602 1552276 1728671 1975624 2681204 2716483 3104552 3457342 4692107 5362408 5432966 6914684 7373311 9384214 10865932 13829368 14746622 18768428 19015381 21731864 29493244 32844749 37536856 38030762 51613177 58986488 65689498 76061524 103226354 131378996 152123048 206452708 262757992 361292239 412905416 722584478 1445168956 2890337912