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82678842 = 232191511601
BaseRepresentation
bin1001110110110…
…01010000111010
312202120112001100
410323121100322
5132131210332
612112032230
72022521121
oct473312072
9182515040
1082678842
1142740924
1223832676
131418a7bc
14ada2ab8
1573d267c
hex4ed943a

82678842 has 48 divisors (see below), whose sum is σ = 189933120. Its totient is φ = 25920000.

The previous prime is 82678819. The next prime is 82678853. The reversal of 82678842 is 24887628.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50842 + ... + 52442.

It is an arithmetic number, because the mean of its divisors is an integer number (3956940).

Almost surely, 282678842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82678842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94966560).

82678842 is an abundant number, since it is smaller than the sum of its proper divisors (107254278).

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

82678842 is a wasteful number, since it uses less digits than its factorization.

82678842 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1779 (or 1776 counting only the distinct ones).

The product of its digits is 344064, while the sum is 45.

The square root of 82678842 is about 9092.7906607378. The cubic root of 82678842 is about 435.6437239032.

The spelling of 82678842 in words is "eighty-two million, six hundred seventy-eight thousand, eight hundred forty-two".

Divisors: 1 2 3 6 9 18 19 38 57 114 151 171 302 342 453 906 1359 1601 2718 2869 3202 4803 5738 8607 9606 14409 17214 25821 28818 30419 51642 60838 91257 182514 241751 273771 483502 547542 725253 1450506 2175759 4351518 4593269 9186538 13779807 27559614 41339421 82678842