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82997694 = 23213412211
BaseRepresentation
bin1001111001001…
…11000110111110
312210011201102200
410330213012332
5132221411234
612122532330
72025316533
oct474470676
9183151380
1082997694
114293943a
12239670a6
131426c980
14b046d8a
157446d99
hex4f271be

82997694 has 72 divisors (see below), whose sum is σ = 199440696. Its totient is φ = 24796800.

The previous prime is 82997693. The next prime is 82997711. The reversal of 82997694 is 49679928.

It is a self number, because there is not a number n which added to its sum of digits gives 82997694.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82997693) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 393249 + ... + 393459.

Almost surely, 282997694 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82997694, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99720348).

82997694 is an abundant number, since it is smaller than the sum of its proper divisors (116443002).

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

82997694 is a wasteful number, since it uses less digits than its factorization.

82997694 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 270 counting only the distinct ones).

The product of its digits is 1959552, while the sum is 54.

The square root of 82997694 is about 9110.3070200735. The cubic root of 82997694 is about 436.2030273752.

The spelling of 82997694 in words is "eighty-two million, nine hundred ninety-seven thousand, six hundred ninety-four".

Divisors: 1 2 3 6 9 13 18 26 39 41 78 82 117 123 211 234 246 369 422 533 633 738 1066 1266 1599 1681 1899 2743 3198 3362 3798 4797 5043 5486 8229 8651 9594 10086 15129 16458 17302 21853 24687 25953 30258 43706 49374 51906 65559 77859 112463 131118 155718 196677 224926 337389 354691 393354 674778 709382 1012167 1064073 2024334 2128146 3192219 4610983 6384438 9221966 13832949 27665898 41498847 82997694