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82968462 = 235315507
BaseRepresentation
bin1001111000111…
…11111110001110
312210010020100000
410330133332032
5132214442322
612122145130
72025135363
oct474377616
9183106300
1082968462
1142919485
12239521a6
131425c585
14b03a46a
15743d3ac
hex4f1ff8e

82968462 has 48 divisors (see below), whose sum is σ = 192471552. Its totient is φ = 26759160.

The previous prime is 82968451. The next prime is 82968481. The reversal of 82968462 is 26486928.

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, 12313 + ... + 17819.

It is an arithmetic number, because the mean of its divisors is an integer number (4009824).

Almost surely, 282968462 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82968462, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96235776).

82968462 is an abundant number, since it is smaller than the sum of its proper divisors (109503090).

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

82968462 is a wasteful number, since it uses less digits than its factorization.

82968462 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5555 (or 5543 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 82968462 is about 9108.7025420748. The cubic root of 82968462 is about 436.1518107547.

The spelling of 82968462 in words is "eighty-two million, nine hundred sixty-eight thousand, four hundred sixty-two".

Divisors: 1 2 3 6 9 18 27 31 54 62 81 93 162 186 243 279 486 558 837 1674 2511 5022 5507 7533 11014 15066 16521 33042 49563 99126 148689 170717 297378 341434 446067 512151 892134 1024302 1338201 1536453 2676402 3072906 4609359 9218718 13828077 27656154 41484231 82968462