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85325436 = 22327547619
BaseRepresentation
bin1010001010111…
…11011001111100
312221112222111100
411011133121330
5133320403221
612244453100
72054153130
oct505373174
9187488440
1085325436
1144189299
12246aa190
13148a6331
14b4913c0
157756926
hex515f67c

85325436 has 72 divisors (see below), whose sum is σ = 247345280. Its totient is φ = 24294816.

The previous prime is 85325417. The next prime is 85325473. The reversal of 85325436 is 63452358.

It is a happy number.

85325436 is a `hidden beast` number, since 85 + 32 + 543 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 85325436.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 137535 + ... + 138153.

Almost surely, 285325436 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 85325436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123672640).

85325436 is an abundant number, since it is smaller than the sum of its proper divisors (162019844).

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

85325436 is a wasteful number, since it uses less digits than its factorization.

85325436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1183 (or 1178 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The square root of 85325436 is about 9237.1768414381. The cubic root of 85325436 is about 440.2433846315.

The spelling of 85325436 in words is "eighty-five million, three hundred twenty-five thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 547 619 1094 1238 1641 1857 2188 2476 3282 3714 3829 4333 4923 5571 6564 7428 7658 8666 9846 11142 11487 12999 15316 17332 19692 22284 22974 25998 34461 38997 45948 51996 68922 77994 137844 155988 338593 677186 1015779 1354372 2031558 2370151 3047337 4063116 4740302 6094674 7110453 9480604 12189348 14220906 21331359 28441812 42662718 85325436