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85485020 = 22523832239
BaseRepresentation
bin1010001100001…
…10010111011100
312221212002101212
411012012113130
5133341010040
612252123552
72055416315
oct506062734
9187762355
1085485020
1144288185
12247665b8
1314930b6a
14b4d360c
157788d65
hex51865dc

85485020 has 48 divisors (see below), whose sum is σ = 189665280. Its totient is φ = 32298816.

The previous prime is 85485019. The next prime is 85485067. The reversal of 85485020 is 2058458.

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 15 ways as a sum of consecutive naturals, for example, 37061 + ... + 39299.

It is an arithmetic number, because the mean of its divisors is an integer number (3951360).

Almost surely, 285485020 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 85485020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94832640).

85485020 is an abundant number, since it is smaller than the sum of its proper divisors (104180260).

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

85485020 is a wasteful number, since it uses less digits than its factorization.

85485020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2354 (or 2352 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 32.

The square root of 85485020 is about 9245.8109433408. The cubic root of 85485020 is about 440.5176758209.

The spelling of 85485020 in words is "eighty-five million, four hundred eighty-five thousand, twenty".

Divisors: 1 2 4 5 10 20 23 46 83 92 115 166 230 332 415 460 830 1660 1909 2239 3818 4478 7636 8956 9545 11195 19090 22390 38180 44780 51497 102994 185837 205988 257485 371674 514970 743348 929185 1029940 1858370 3716740 4274251 8548502 17097004 21371255 42742510 85485020