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82529388 = 223319371087
BaseRepresentation
bin1001110101101…
…00110001101100
312202021221001000
410322310301230
5132111420023
612104520300
72021326314
oct472646154
9182257030
1082529388
1142649607
1223780090
1314137776
14ad64444
1573a3243
hex4eb4c6c

82529388 has 96 divisors (see below), whose sum is σ = 231526400. Its totient is φ = 25334208.

The previous prime is 82529371. The next prime is 82529393. The reversal of 82529388 is 88392528.

It is a super-2 number, since 2×825293882 = 13622199767309088, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 75381 + ... + 76467.

Almost surely, 282529388 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 82529388, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115763200).

82529388 is an abundant number, since it is smaller than the sum of its proper divisors (148997012).

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

82529388 is a wasteful number, since it uses less digits than its factorization.

82529388 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1156 (or 1148 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The square root of 82529388 is about 9084.5686744061. The cubic root of 82529388 is about 435.3810691695.

The spelling of 82529388 in words is "eighty-two million, five hundred twenty-nine thousand, three hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 37 38 54 57 74 76 108 111 114 148 171 222 228 333 342 444 513 666 684 703 999 1026 1087 1332 1406 1998 2052 2109 2174 2812 3261 3996 4218 4348 6327 6522 8436 9783 12654 13044 18981 19566 20653 25308 29349 37962 39132 40219 41306 58698 61959 75924 80438 82612 117396 120657 123918 160876 185877 241314 247836 361971 371754 482628 557631 723942 743508 764161 1085913 1115262 1447884 1528322 2171826 2230524 2292483 3056644 4343652 4584966 6877449 9169932 13754898 20632347 27509796 41264694 82529388