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85334790 = 2354383797
BaseRepresentation
bin1010001011000…
…01101100000110
312221120110022210
411011201230012
5133321203130
612245004250
72054222322
oct505415406
9187513283
1085334790
1144195322
12246b3686
13148aa678
14b494982
1577595b0
hex5161b06

85334790 has 64 divisors (see below), whose sum is σ = 212357376. Its totient is φ = 21931392.

The previous prime is 85334783. The next prime is 85334801. The reversal of 85334790 is 9743358.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 106672 + ... + 107468.

It is an arithmetic number, because the mean of its divisors is an integer number (3318084).

Almost surely, 285334790 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85334790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106178688).

85334790 is an abundant number, since it is smaller than the sum of its proper divisors (127022586).

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

85334790 is a wasteful number, since it uses less digits than its factorization.

85334790 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 933.

The product of its (nonzero) digits is 90720, while the sum is 39.

The square root of 85334790 is about 9237.6831510937. The cubic root of 85334790 is about 440.2594716130.

The spelling of 85334790 in words is "eighty-five million, three hundred thirty-four thousand, seven hundred ninety".

Divisors: 1 2 3 5 6 10 15 30 43 83 86 129 166 215 249 258 415 430 498 645 797 830 1245 1290 1594 2391 2490 3569 3985 4782 7138 7970 10707 11955 17845 21414 23910 34271 35690 53535 66151 68542 102813 107070 132302 171355 198453 205626 330755 342710 396906 514065 661510 992265 1028130 1984530 2844493 5688986 8533479 14222465 17066958 28444930 42667395 85334790