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82319661 = 32172918553
BaseRepresentation
bin1001110100000…
…01100100101101
312201220021100100
410322001210231
5132033212121
612100221313
72016464004
oct472014455
9181807310
1082319661
1142515a86
122369a839
1314093178
14ad0bc3b
157361026
hex4e8192d

82319661 has 24 divisors (see below), whose sum is σ = 130249080. Its totient is φ = 49867776.

The previous prime is 82319641. The next prime is 82319681. The reversal of 82319661 is 16691328.

It is an interprime number because it is at equal distance from previous prime (82319641) and next prime (82319681).

It can be written as a sum of positive squares in 4 ways, for example, as 6734025 + 75585636 = 2595^2 + 8694^2 .

It is a de Polignac number, because none of the positive numbers 2k-82319661 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82319641) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4840 + ... + 13713.

It is an arithmetic number, because the mean of its divisors is an integer number (5427045).

Almost surely, 282319661 is an apocalyptic number.

It is an amenable number.

82319661 is a deficient number, since it is larger than the sum of its proper divisors (47929419).

82319661 is a wasteful number, since it uses less digits than its factorization.

82319661 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18605 (or 18602 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 82319661 is about 9073.0182960248. The cubic root of 82319661 is about 435.0119536945.

The spelling of 82319661 in words is "eighty-two million, three hundred nineteen thousand, six hundred sixty-one".

Divisors: 1 3 9 17 29 51 87 153 261 493 1479 4437 18553 55659 166977 315401 538037 946203 1614111 2838609 4842333 9146629 27439887 82319661