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82862048 = 252923079
BaseRepresentation
bin1001111000001…
…01111111100000
312202220211100202
410330011333200
5132203041143
612120004332
72024213213
oct474057740
9182824322
1082862048
1142856535
12239006a8
1314222cc9
14b00d77a
15741bab8
hex4f05fe0

82862048 has 36 divisors (see below), whose sum is σ = 169008840. Its totient is φ = 39989376.

The previous prime is 82862027. The next prime is 82862051. The reversal of 82862048 is 84026828.

It is a super-2 number, since 2×828620482 = 13732237997508608, which contains 22 as substring.

It is a congruent number.

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, 25373 + ... + 28451.

It is an arithmetic number, because the mean of its divisors is an integer number (4694690).

Almost surely, 282862048 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 82862048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84504420).

82862048 is an abundant number, since it is smaller than the sum of its proper divisors (86146792).

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

82862048 is a wasteful number, since it uses less digits than its factorization.

82862048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3147 (or 3110 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 38.

The square root of 82862048 is about 9102.8593310014. The cubic root of 82862048 is about 435.9652639049.

The spelling of 82862048 in words is "eighty-two million, eight hundred sixty-two thousand, forty-eight".

Divisors: 1 2 4 8 16 29 32 58 116 232 464 841 928 1682 3079 3364 6158 6728 12316 13456 24632 26912 49264 89291 98528 178582 357164 714328 1428656 2589439 2857312 5178878 10357756 20715512 41431024 82862048