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83090988 = 22336711483
BaseRepresentation
bin1001111001111…
…01111000101100
312210100110102000
410330331320230
5132232402423
612124532300
72026155531
oct474757054
9183313360
1083090988
11429a2542
12239b1090
13142a3286
14b06cd88
157464843
hex4f3de2c

83090988 has 48 divisors (see below), whose sum is σ = 218655360. Its totient is φ = 27281232.

The previous prime is 83090981. The next prime is 83090993. The reversal of 83090988 is 88909038.

It is a super-2 number, since 2×830909882 = 13808224573632288, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (83090981) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1495 + ... + 12977.

It is an arithmetic number, because the mean of its divisors is an integer number (4555320).

Almost surely, 283090988 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 83090988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109327680).

83090988 is an abundant number, since it is smaller than the sum of its proper divisors (135564372).

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

83090988 is a wasteful number, since it uses less digits than its factorization.

83090988 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11563 (or 11555 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 83090988 is about 9115.4258265865. The cubic root of 83090988 is about 436.3664049540.

The spelling of 83090988 in words is "eighty-three million, ninety thousand, nine hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 67 108 134 201 268 402 603 804 1206 1809 2412 3618 7236 11483 22966 34449 45932 68898 103347 137796 206694 310041 413388 620082 769361 1240164 1538722 2308083 3077444 4616166 6924249 9232332 13848498 20772747 27696996 41545494 83090988