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82489512 = 23373147337
BaseRepresentation
bin1001110101010…
…11000010101000
312202012220100010
410322223002220
5132104131022
612104011520
72021102130
oct472530250
9182186303
1082489512
1142621656
1223760ba0
1314122581
14ad53ac0
15739650c
hex4eab0a8

82489512 has 128 divisors (see below), whose sum is σ = 249200640. Its totient is φ = 22256640.

The previous prime is 82489501. The next prime is 82489541. The reversal of 82489512 is 21598428.

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, 244608 + ... + 244944.

It is an arithmetic number, because the mean of its divisors is an integer number (1946880).

Almost surely, 282489512 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 82489512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124600320).

82489512 is an abundant number, since it is smaller than the sum of its proper divisors (166711128).

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

82489512 is a wasteful number, since it uses less digits than its factorization.

82489512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431 (or 427 counting only the distinct ones).

The product of its digits is 46080, while the sum is 39.

The square root of 82489512 is about 9082.3736985438. The cubic root of 82489512 is about 435.3109363644.

The spelling of 82489512 in words is "eighty-two million, four hundred eighty-nine thousand, five hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 31 42 47 56 62 84 93 94 124 141 168 186 188 217 248 282 329 337 372 376 434 564 651 658 674 744 868 987 1011 1128 1302 1316 1348 1457 1736 1974 2022 2359 2604 2632 2696 2914 3948 4044 4371 4718 5208 5828 7077 7896 8088 8742 9436 10199 10447 11656 14154 15839 17484 18872 20398 20894 28308 30597 31341 31678 34968 40796 41788 47517 56616 61194 62682 63356 73129 81592 83576 95034 110873 122388 125364 126712 146258 190068 219387 221746 244776 250728 292516 332619 380136 438774 443492 491009 585032 665238 877548 886984 982018 1330476 1473027 1755096 1964036 2660952 2946054 3437063 3928072 5892108 6874126 10311189 11784216 13748252 20622378 27496504 41244756 82489512