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85558460 = 225131093019
BaseRepresentation
bin1010001100110…
…00010010111100
312221222211010212
411012120102330
5133400332320
612253451552
72056143401
oct506302274
9187884125
1085558460
1144328379
12247a0bb8
1314958410
14b5122a8
1577a09c5
hex51984bc

85558460 has 48 divisors (see below), whose sum is σ = 195333600. Its totient is φ = 31290624.

The previous prime is 85558453. The next prime is 85558489. The reversal of 85558460 is 6485558.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26831 + ... + 29849.

It is an arithmetic number, because the mean of its divisors is an integer number (4069450).

Almost surely, 285558460 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 85558460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97666800).

85558460 is an abundant number, since it is smaller than the sum of its proper divisors (109775140).

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

85558460 is a wasteful number, since it uses less digits than its factorization.

85558460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3150 (or 3148 counting only the distinct ones).

The product of its (nonzero) digits is 192000, while the sum is 41.

The square root of 85558460 is about 9249.7816190438. The cubic root of 85558460 is about 440.6437889813.

The spelling of 85558460 in words is "eighty-five million, five hundred fifty-eight thousand, four hundred sixty".

Divisors: 1 2 4 5 10 13 20 26 52 65 109 130 218 260 436 545 1090 1417 2180 2834 3019 5668 6038 7085 12076 14170 15095 28340 30190 39247 60380 78494 156988 196235 329071 392470 658142 784940 1316284 1645355 3290710 4277923 6581420 8555846 17111692 21389615 42779230 85558460