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82913922 = 23371347359
BaseRepresentation
bin1001111000100…
…10101010000010
312210000110112000
410330102222002
5132211221142
612121044430
72024520360
oct474225202
9183013460
1082913922
1142891503
1223926716
13142407c0
14b024630
15742c14c
hex4f12a82

82913922 has 128 divisors (see below), whose sum is σ = 232243200. Its totient is φ = 21342528.

The previous prime is 82913903. The next prime is 82913923. The reversal of 82913922 is 22931928.

It is a super-2 number, since 2×829139222 = 13749436922844168, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (82913923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 230779 + ... + 231137.

It is an arithmetic number, because the mean of its divisors is an integer number (1814400).

Almost surely, 282913922 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82913922, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116121600).

82913922 is an abundant number, since it is smaller than the sum of its proper divisors (149329278).

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

82913922 is a wasteful number, since it uses less digits than its factorization.

82913922 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437 (or 431 counting only the distinct ones).

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

The square root of 82913922 is about 9105.7082096891. The cubic root of 82913922 is about 436.0562204808.

The spelling of 82913922 in words is "eighty-two million, nine hundred thirteen thousand, nine hundred twenty-two".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 27 39 42 47 54 63 78 91 94 117 126 141 182 189 234 273 282 329 351 359 378 423 546 611 658 702 718 819 846 987 1077 1222 1269 1638 1833 1974 2154 2457 2513 2538 2961 3231 3666 4277 4667 4914 5026 5499 5922 6462 7539 8554 8883 9334 9693 10998 12831 14001 15078 16497 16873 17766 19386 22617 25662 28002 32669 32994 33746 38493 42003 45234 50619 65338 67851 76986 84006 98007 101238 115479 118111 126009 135702 151857 196014 219349 230958 236222 252018 294021 303714 354333 438698 455571 588042 658047 708666 882063 911142 1062999 1316094 1535443 1764126 1974141 2125998 3070886 3188997 3948282 4606329 5922423 6377994 9212658 11844846 13818987 27637974 41456961 82913922