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82484490 = 23511231733
BaseRepresentation
bin1001110101010…
…01110100001010
312202012122110010
410322221310022
5132104000430
612103532350
72021051364
oct472516412
9182178403
1082484490
1142618900
122375a0b6
13141201ba
14ad51d34
157394cb0
hex4ea9d0a

82484490 has 96 divisors (see below), whose sum is σ = 224921088. Its totient is φ = 19324800.

The previous prime is 82484471. The next prime is 82484531. The reversal of 82484490 is 9448428.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 112164 + ... + 112896.

It is an arithmetic number, because the mean of its divisors is an integer number (2342928).

Almost surely, 282484490 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82484490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112460544).

82484490 is an abundant number, since it is smaller than the sum of its proper divisors (142436598).

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

82484490 is a wasteful number, since it uses less digits than its factorization.

82484490 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 796 (or 785 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The square root of 82484490 is about 9082.0972247604. The cubic root of 82484490 is about 435.3021022075.

The spelling of 82484490 in words is "eighty-two million, four hundred eighty-four thousand, four hundred ninety".

Divisors: 1 2 3 5 6 10 11 15 22 30 31 33 55 62 66 93 110 121 155 165 186 242 310 330 341 363 465 605 682 726 733 930 1023 1210 1466 1705 1815 2046 2199 3410 3630 3665 3751 4398 5115 7330 7502 8063 10230 10995 11253 16126 18755 21990 22506 22723 24189 37510 40315 45446 48378 56265 68169 80630 88693 112530 113615 120945 136338 177386 227230 241890 249953 266079 340845 443465 499906 532158 681690 749859 886930 1249765 1330395 1499718 2499530 2660790 2749483 3749295 5498966 7498590 8248449 13747415 16496898 27494830 41242245 82484490