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85208436 = 223629221
BaseRepresentation
bin1010001010000…
…10110101110100
312221100001000000
411011002311310
5133303132221
612242151300
72053155045
oct505026564
9187301000
1085208436
11441093a5
1224652530
1314864cc1
14b4608cc
157731e26
hex5142d74

85208436 has 42 divisors (see below), whose sum is σ = 223577522. Its totient is φ = 28401840.

The previous prime is 85208419. The next prime is 85208479. The reversal of 85208436 is 63480258.

It can be written as a sum of positive squares in only one way, i.e., 49280400 + 35928036 = 7020^2 + 5994^2 .

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 85208436.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 11695 + ... + 17526.

Almost surely, 285208436 is an apocalyptic number.

It is an amenable number.

85208436 is an abundant number, since it is smaller than the sum of its proper divisors (138369086).

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

85208436 is a wasteful number, since it uses less digits than its factorization.

85208436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29243 (or 29226 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 85208436 is about 9230.8415651012. The cubic root of 85208436 is about 440.0420689804.

The spelling of 85208436 in words is "eighty-five million, two hundred eight thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 972 1458 2916 29221 58442 87663 116884 175326 262989 350652 525978 788967 1051956 1577934 2366901 3155868 4733802 7100703 9467604 14201406 21302109 28402812 42604218 85208436