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85273540 = 225112167211
BaseRepresentation
bin1010001010100…
…10101111000100
312221110100022021
411011102233010
5133312223130
612243412524
72053545622
oct505225704
9187410267
1085273540
1144153300
1224684144
1314888821
14b47a512
15774637a
hex5152bc4

85273540 has 72 divisors (see below), whose sum is σ = 198950976. Its totient is φ = 30676800.

The previous prime is 85273523. The next prime is 85273583. The reversal of 85273540 is 4537258.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 85273496 and 85273505.

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, 404035 + ... + 404245.

It is an arithmetic number, because the mean of its divisors is an integer number (2763208).

Almost surely, 285273540 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 85273540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99475488).

85273540 is an abundant number, since it is smaller than the sum of its proper divisors (113677436).

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

85273540 is a wasteful number, since it uses less digits than its factorization.

85273540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 34.

The square root of 85273540 is about 9234.3673307921. The cubic root of 85273540 is about 440.1541126815.

The spelling of 85273540 in words is "eighty-five million, two hundred seventy-three thousand, five hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 167 211 220 242 334 422 484 605 668 835 844 1055 1210 1670 1837 2110 2321 2420 3340 3674 4220 4642 7348 9185 9284 11605 18370 20207 23210 25531 35237 36740 40414 46420 51062 70474 80828 101035 102124 127655 140948 176185 202070 255310 352370 387607 404140 510620 704740 775214 1550428 1938035 3876070 4263677 7752140 8527354 17054708 21318385 42636770 85273540