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85484982 = 23112959757
BaseRepresentation
bin1010001100001…
…10010110110110
312221212002100110
411012012112312
5133341004412
612252123450
72055416232
oct506062666
9187762313
1085484982
1144288150
1224766586
1314930b3b
14b4d35c2
157788d3c
hex51865b6

85484982 has 64 divisors (see below), whose sum is σ = 196473600. Its totient is φ = 24554880.

The previous prime is 85484969. The next prime is 85484999. The reversal of 85484982 is 28948458.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 112548 + ... + 113304.

It is an arithmetic number, because the mean of its divisors is an integer number (3069900).

Almost surely, 285484982 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85484982, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98236800).

85484982 is an abundant number, since it is smaller than the sum of its proper divisors (110988618).

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

85484982 is a wasteful number, since it uses less digits than its factorization.

85484982 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 861.

The product of its digits is 737280, while the sum is 48.

The square root of 85484982 is about 9245.8088883558. The cubic root of 85484982 is about 440.5176105476.

It can be divided in two parts, 8548 and 4982, that added together give a triangular number (13530 = T164).

The spelling of 85484982 in words is "eighty-five million, four hundred eighty-four thousand, nine hundred eighty-two".

Divisors: 1 2 3 6 11 22 29 33 58 59 66 87 118 174 177 319 354 638 649 757 957 1298 1514 1711 1914 1947 2271 3422 3894 4542 5133 8327 10266 16654 18821 21953 24981 37642 43906 44663 49962 56463 65859 89326 112926 131718 133989 241483 267978 482966 491293 724449 982586 1295227 1448898 1473879 2590454 2947758 3885681 7771362 14247497 28494994 42742491 85484982