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82346784 = 2531365983
BaseRepresentation
bin1001110100010…
…00001100100000
312201221122112220
410322020030200
5132040044114
612100551040
72016636042
oct472101440
9181848486
1082346784
11425343a3
12236b2480
13140a2610
14ad17a92
1573690a9
hex4e88320

82346784 has 48 divisors (see below), whose sum is σ = 232791552. Its totient is φ = 25337088.

The previous prime is 82346783. The next prime is 82346801. The reversal of 82346784 is 48764328.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82346783) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31744 + ... + 34239.

It is an arithmetic number, because the mean of its divisors is an integer number (4849824).

Almost surely, 282346784 is an apocalyptic number.

It is an amenable number.

82346784 is an abundant number, since it is smaller than the sum of its proper divisors (150444768).

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

82346784 is a wasteful number, since it uses less digits than its factorization.

82346784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66009 (or 66001 counting only the distinct ones).

The product of its digits is 258048, while the sum is 42.

The square root of 82346784 is about 9074.5128794884. The cubic root of 82346784 is about 435.0597249214.

The spelling of 82346784 in words is "eighty-two million, three hundred forty-six thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 65983 131966 197949 263932 395898 527864 791796 857779 1055728 1583592 1715558 2111456 2573337 3167184 3431116 5146674 6334368 6862232 10293348 13724464 20586696 27448928 41173392 82346784