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82342806 = 23713237983
BaseRepresentation
bin1001110100001…
…11001110010110
312201221110002120
410322013032112
5132034432211
612100520410
72016621330
oct472071626
9181843076
1082342806
1142531407
12236b0106
13140a0870
14ad16450
157367d06
hex4e87396

82342806 has 128 divisors (see below), whose sum is σ = 216760320. Its totient is φ = 20262528.

The previous prime is 82342787. The next prime is 82342811. The reversal of 82342806 is 60824328.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 992041 + ... + 992123.

It is an arithmetic number, because the mean of its divisors is an integer number (1693440).

Almost surely, 282342806 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82342806, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108380160).

82342806 is an abundant number, since it is smaller than the sum of its proper divisors (134417514).

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

82342806 is a wasteful number, since it uses less digits than its factorization.

82342806 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210.

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 82342806 is about 9074.2936915222. The cubic root of 82342806 is about 435.0527192017.

The spelling of 82342806 in words is "eighty-two million, three hundred forty-two thousand, eight hundred six".

Divisors: 1 2 3 6 7 13 14 21 23 26 39 42 46 69 78 79 83 91 138 158 161 166 182 237 249 273 299 322 474 483 498 546 553 581 598 897 966 1027 1079 1106 1162 1659 1743 1794 1817 1909 2054 2093 2158 3081 3237 3318 3486 3634 3818 4186 5451 5727 6162 6279 6474 6557 7189 7553 10902 11454 12558 12719 13114 13363 14378 15106 19671 21567 22659 23621 24817 25438 26726 38157 39342 40089 43134 45318 45899 47242 49634 70863 74451 76314 80178 85241 91798 137697 141726 148902 150811 165347 170482 173719 255723 275394 301622 330694 347438 452433 496041 511446 521157 596687 904866 992082 1042314 1055677 1193374 1790061 1960543 2111354 3167031 3580122 3921086 5881629 6334062 11763258 13723801 27447602 41171403 82342806