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82463640 = 23357127773
BaseRepresentation
bin1001110101001…
…00101110011000
312202011120211220
410322210232120
5132102314030
612103252040
72020633530
oct472445630
9182146756
1082463640
1142604176
122374a020
131411386c
14ad484c0
15738da10
hex4ea4b98

82463640 has 128 divisors (see below), whose sum is σ = 285327360. Its totient is φ = 18676224.

The previous prime is 82463581. The next prime is 82463657. The reversal of 82463640 is 4636428.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 106294 + ... + 107066.

It is an arithmetic number, because the mean of its divisors is an integer number (2229120).

Almost surely, 282463640 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82463640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142663680).

82463640 is an abundant number, since it is smaller than the sum of its proper divisors (202863720).

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

82463640 is a wasteful number, since it uses less digits than its factorization.

82463640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 921 (or 917 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The square root of 82463640 is about 9080.9492895842. The cubic root of 82463640 is about 435.2654213168.

The spelling of 82463640 in words is "eighty-two million, four hundred sixty-three thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 127 140 168 210 254 280 381 420 508 635 762 773 840 889 1016 1270 1524 1546 1778 1905 2319 2540 2667 3048 3092 3556 3810 3865 4445 4638 5080 5334 5411 6184 7112 7620 7730 8890 9276 10668 10822 11595 13335 15240 15460 16233 17780 18552 21336 21644 23190 26670 27055 30920 32466 35560 43288 46380 53340 54110 64932 81165 92760 98171 106680 108220 129864 162330 196342 216440 294513 324660 392684 490855 589026 649320 687197 785368 981710 1178052 1374394 1472565 1963420 2061591 2356104 2748788 2945130 3435985 3926840 4123182 5497576 5890260 6871970 8246364 10307955 11780520 13743940 16492728 20615910 27487880 41231820 82463640