Search a number
-
+
85289280 = 263588843
BaseRepresentation
bin1010001010101…
…10100101000000
312221111010220020
411011112211000
5133313224110
612244013440
72053642536
oct505264500
9187433806
1085289280
114416410a
1224691280
1314892a3b
14b482156
15774ad70
hex5156940

85289280 has 56 divisors (see below), whose sum is σ = 270796512. Its totient is φ = 22743552.

The previous prime is 85289273. The next prime is 85289291. The reversal of 85289280 is 8298258.

It is a super-2 number, since 2×852892802 = 14548522565836800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43462 + ... + 45381.

It is an arithmetic number, because the mean of its divisors is an integer number (4835652).

Almost surely, 285289280 is an apocalyptic number.

85289280 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85289280 is an abundant number, since it is smaller than the sum of its proper divisors (185507232).

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

85289280 is a wasteful number, since it uses less digits than its factorization.

85289280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88863 (or 88853 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 42.

The square root of 85289280 is about 9235.2195425989. The cubic root of 85289280 is about 440.1811925920.

The spelling of 85289280 in words is "eighty-five million, two hundred eighty-nine thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 88843 177686 266529 355372 444215 533058 710744 888430 1066116 1332645 1421488 1776860 2132232 2665290 2842976 3553720 4264464 5330580 5685952 7107440 8528928 10661160 14214880 17057856 21322320 28429760 42644640 85289280