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85205428 = 227111716273
BaseRepresentation
bin1010001010000…
…10000110110100
312221022212212121
411011002012310
5133303033203
612242125324
72053143220
oct505020664
9187285777
1085205428
1144107110
1224650844
1314863819
14b45d780
1577310bd
hex51421b4

85205428 has 48 divisors (see below), whose sum is σ = 196850304. Its totient is φ = 31242240.

The previous prime is 85205389. The next prime is 85205429. The reversal of 85205428 is 82450258.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 85205393 and 85205402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85205429) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2901 + ... + 13372.

It is an arithmetic number, because the mean of its divisors is an integer number (4101048).

Almost surely, 285205428 is an apocalyptic number.

It is an amenable number.

85205428 is an abundant number, since it is smaller than the sum of its proper divisors (111644876).

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

85205428 is a wasteful number, since it uses less digits than its factorization.

85205428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16312 (or 16310 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 34.

The square root of 85205428 is about 9230.6786316067. The cubic root of 85205428 is about 440.0368908463.

The spelling of 85205428 in words is "eighty-five million, two hundred five thousand, four hundred twenty-eight".

Divisors: 1 2 4 7 11 14 17 22 28 34 44 68 77 119 154 187 238 308 374 476 748 1309 2618 5236 16273 32546 65092 113911 179003 227822 276641 358006 455644 553282 716012 1106564 1253021 1936487 2506042 3043051 3872974 5012084 6086102 7745948 12172204 21301357 42602714 85205428