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82079382 = 23711231521
BaseRepresentation
bin1001110010001…
…10111010010110
312201110001202010
410321012322112
5132003020012
612051125050
72014443330
oct471067226
9181401663
1082079382
1142371500
12235a3786
131400a9a8
14ac88450
157314c3c
hex4e46e96

82079382 has 96 divisors (see below), whose sum is σ = 213276672. Its totient is φ = 20592000.

The previous prime is 82079381. The next prime is 82079399. The reversal of 82079382 is 28397028.

It is a self number, because there is not a number n which added to its sum of digits gives 82079382.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82079381) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 157282 + ... + 157802.

It is an arithmetic number, because the mean of its divisors is an integer number (2221632).

Almost surely, 282079382 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82079382, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106638336).

82079382 is an abundant number, since it is smaller than the sum of its proper divisors (131197290).

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

82079382 is a wasteful number, since it uses less digits than its factorization.

82079382 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 586 (or 575 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 82079382 is about 9059.7672155525. The cubic root of 82079382 is about 434.5882958945.

The spelling of 82079382 in words is "eighty-two million, seventy-nine thousand, three hundred eighty-two".

Divisors: 1 2 3 6 7 11 14 21 22 31 33 42 62 66 77 93 121 154 186 217 231 242 341 363 434 462 521 651 682 726 847 1023 1042 1302 1563 1694 2046 2387 2541 3126 3647 3751 4774 5082 5731 7161 7294 7502 10941 11253 11462 14322 16151 17193 21882 22506 26257 32302 34386 40117 48453 52514 63041 78771 80234 96906 113057 120351 126082 157542 177661 189123 226114 240702 339171 355322 378246 441287 532983 678342 882574 1065966 1243627 1323861 1954271 2487254 2647722 3730881 3908542 5862813 7461762 11725626 13679897 27359794 41039691 82079382