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85331436 = 22343612711
BaseRepresentation
bin1010001011000…
…00110111101100
312221120021201120
411011200313230
5133321101221
612244540540
72054206461
oct505406754
9187507646
1085331436
1144192853
12246b1750
13148a8c98
14b493668
1577585c6
hex5160dec

85331436 has 48 divisors (see below), whose sum is σ = 207153408. Its totient is φ = 27316800.

The previous prime is 85331423. The next prime is 85331443. The reversal of 85331436 is 63413358.

It is a junction number, because it is equal to n+sod(n) for n = 85331397 and 85331406.

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, 30121 + ... + 32831.

It is an arithmetic number, because the mean of its divisors is an integer number (4315696).

Almost surely, 285331436 is an apocalyptic number.

85331436 is a gapful number since it is divisible by the number (86) formed by its first and last digit.

It is an amenable number.

85331436 is an abundant number, since it is smaller than the sum of its proper divisors (121821972).

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

85331436 is a wasteful number, since it uses less digits than its factorization.

85331436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2822 (or 2820 counting only the distinct ones).

The product of its digits is 25920, while the sum is 33.

The square root of 85331436 is about 9237.5016102840. The cubic root of 85331436 is about 440.2537035489.

The spelling of 85331436 in words is "eighty-five million, three hundred thirty-one thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 12 43 61 86 122 129 172 183 244 258 366 516 732 2623 2711 5246 5422 7869 8133 10492 10844 15738 16266 31476 32532 116573 165371 233146 330742 349719 466292 496113 661484 699438 992226 1398876 1984452 7110953 14221906 21332859 28443812 42665718 85331436