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82835856 = 2432575249
BaseRepresentation
bin1001110111111…
…11100110010000
312202212111102200
410323333212100
5132201221411
612115243200
72024043645
oct473774620
9182774380
1082835856
1142838894
12238a9500
13142140cc
14b003dcc
157413e56
hex4eff990

82835856 has 30 divisors (see below), whose sum is σ = 231825750. Its totient is φ = 27611904.

The previous prime is 82835833. The next prime is 82835887. The reversal of 82835856 is 65853828.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 58982400 + 23853456 = 7680^2 + 4884^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 287481 + ... + 287768.

It is an arithmetic number, because the mean of its divisors is an integer number (7727525).

Almost surely, 282835856 is an apocalyptic number.

It is an amenable number.

82835856 is an abundant number, since it is smaller than the sum of its proper divisors (148989894).

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

82835856 is a wasteful number, since it uses less digits than its factorization.

82835856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 575263 (or 575254 counting only the distinct ones).

The product of its digits is 460800, while the sum is 45.

The square root of 82835856 is about 9101.4205484638. The cubic root of 82835856 is about 435.9193240736.

The spelling of 82835856 in words is "eighty-two million, eight hundred thirty-five thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 575249 1150498 1725747 2300996 3451494 4601992 5177241 6902988 9203984 10354482 13805976 20708964 27611952 41417928 82835856