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83885088 = 2537432903
BaseRepresentation
bin1001111111111…
…11110000100000
312211211210201010
410333333300200
5132433310323
612153540520
72036003640
oct477776040
9184753633
1083885088
1143395121
1224114740
13144c0861
14b1d8520
15756ec93
hex4fffc20

83885088 has 96 divisors (see below), whose sum is σ = 257596416. Its totient is φ = 23401728.

The previous prime is 83885077. The next prime is 83885093. The reversal of 83885088 is 88058838.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27445 + ... + 30347.

It is an arithmetic number, because the mean of its divisors is an integer number (2683296).

Almost surely, 283885088 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 83885088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128798208).

83885088 is an abundant number, since it is smaller than the sum of its proper divisors (173711328).

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

83885088 is a wasteful number, since it uses less digits than its factorization.

83885088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2966 (or 2958 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 48.

The square root of 83885088 is about 9158.8802809077. The cubic root of 83885088 is about 437.7521167808.

The spelling of 83885088 in words is "eighty-three million, eight hundred eighty-five thousand, eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 43 48 56 84 86 96 112 129 168 172 224 258 301 336 344 516 602 672 688 903 1032 1204 1376 1806 2064 2408 2903 3612 4128 4816 5806 7224 8709 9632 11612 14448 17418 20321 23224 28896 34836 40642 46448 60963 69672 81284 92896 121926 124829 139344 162568 243852 249658 278688 325136 374487 487704 499316 650272 748974 873803 975408 998632 1497948 1747606 1950816 1997264 2621409 2995896 3495212 3994528 5242818 5991792 6990424 10485636 11983584 13980848 20971272 27961696 41942544 83885088