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83880036 = 2234376997
BaseRepresentation
bin1001111111111…
…10100001100100
312211211112210000
410333332201210
5132433130121
612153501300
72035653132
oct477764144
9184745700
1083880036
1143391349
1224111830
13144bb476
14b1d6752
15756d526
hex4ffe864

83880036 has 60 divisors (see below), whose sum is σ = 225237628. Its totient is φ = 27200448.

The previous prime is 83880001. The next prime is 83880037. The reversal of 83880036 is 63008838.

It can be written as a sum of positive squares in 2 ways, for example, as 53144100 + 30735936 = 7290^2 + 5544^2 .

It is a super-2 number, since 2×838800362 = 14071720878722592, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (83880037) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 8490 + ... + 15486.

Almost surely, 283880036 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 83880036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112618814).

83880036 is an abundant number, since it is smaller than the sum of its proper divisors (141357592).

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

83880036 is a wasteful number, since it uses less digits than its factorization.

83880036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7050 (or 7039 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 83880036 is about 9158.6044788494. The cubic root of 83880036 is about 437.7433286948.

The spelling of 83880036 in words is "eighty-three million, eight hundred eighty thousand, thirty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 37 54 74 81 108 111 148 162 222 324 333 444 666 999 1332 1998 2997 3996 5994 6997 11988 13994 20991 27988 41982 62973 83964 125946 188919 251892 258889 377838 517778 566757 755676 776667 1035556 1133514 1553334 2267028 2330001 3106668 4660002 6990003 9320004 13980006 20970009 27960012 41940018 83880036