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85075500 = 22353431319
BaseRepresentation
bin1010001001000…
…10011000101100
312221002021122110
411010202120230
5133234404000
612235244020
72052062346
oct504423054
9187067573
1085075500
1144028534
12245a9610
1314819643
14b428296
157707850
hex512262c

85075500 has 96 divisors (see below), whose sum is σ = 253693440. Its totient is φ = 22142400.

The previous prime is 85075489. The next prime is 85075517. The reversal of 85075500 is 557058.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 63841 + ... + 65159.

It is an arithmetic number, because the mean of its divisors is an integer number (2642640).

Almost surely, 285075500 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 85075500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126846720).

85075500 is an abundant number, since it is smaller than the sum of its proper divisors (168617940).

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

85075500 is a wasteful number, since it uses less digits than its factorization.

85075500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1384 (or 1372 counting only the distinct ones).

The product of its (nonzero) digits is 7000, while the sum is 30.

The square root of 85075500 is about 9223.6381108541. The cubic root of 85075500 is about 439.8131093344.

The spelling of 85075500 in words is "eighty-five million, seventy-five thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 43 50 60 75 86 100 125 129 150 172 215 250 258 300 375 430 500 516 645 750 860 1075 1290 1319 1500 2150 2580 2638 3225 3957 4300 5276 5375 6450 6595 7914 10750 12900 13190 15828 16125 19785 21500 26380 32250 32975 39570 56717 64500 65950 79140 98925 113434 131900 164875 170151 197850 226868 283585 329750 340302 395700 494625 567170 659500 680604 850755 989250 1134340 1417925 1701510 1978500 2835850 3403020 4253775 5671700 7089625 8507550 14179250 17015100 21268875 28358500 42537750 85075500