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82811316 = 22372342863
BaseRepresentation
bin1001110111110…
…01100110110100
312202211020202210
410323321212310
5132144430231
612114533420
72023612260
oct473714664
9182736683
1082811316
1142821405
1223897270
1314205ba3
14add90a0
15740ba46
hex4ef99b4

82811316 has 48 divisors (see below), whose sum is σ = 230436864. Its totient is φ = 22631136.

The previous prime is 82811299. The next prime is 82811371. The reversal of 82811316 is 61311828.

82811316 is a modest number, since divided by 11316 gives 828 as remainder.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19500 + ... + 23363.

It is an arithmetic number, because the mean of its divisors is an integer number (4800768).

Almost surely, 282811316 is an apocalyptic number.

It is an amenable number.

82811316 is an abundant number, since it is smaller than the sum of its proper divisors (147625548).

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

82811316 is a wasteful number, since it uses less digits than its factorization.

82811316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42900 (or 42898 counting only the distinct ones).

The product of its digits is 2304, while the sum is 30.

The square root of 82811316 is about 9100.0723074050. The cubic root of 82811316 is about 435.8762730034.

The spelling of 82811316 in words is "eighty-two million, eight hundred eleven thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 7 12 14 21 23 28 42 46 69 84 92 138 161 276 322 483 644 966 1932 42863 85726 128589 171452 257178 300041 514356 600082 900123 985849 1200164 1800246 1971698 2957547 3600492 3943396 5915094 6900943 11830188 13801886 20702829 27603772 41405658 82811316