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85487256 = 23321279349
BaseRepresentation
bin1010001100001…
…10111010011000
312221212012110200
411012012322120
5133341043011
612252142200
72055425661
oct506067230
9187765420
1085487256
1144289928
1224767960
1314931b9a
14b4d4368
157789856
hex5186e98

85487256 has 48 divisors (see below), whose sum is σ = 233376000. Its totient is φ = 28268352.

The previous prime is 85487239. The next prime is 85487257. The reversal of 85487256 is 65278458.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85487257) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4470 + ... + 13818.

It is an arithmetic number, because the mean of its divisors is an integer number (4862000).

Almost surely, 285487256 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 85487256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116688000).

85487256 is an abundant number, since it is smaller than the sum of its proper divisors (147888744).

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

85487256 is a wasteful number, since it uses less digits than its factorization.

85487256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9488 (or 9481 counting only the distinct ones).

The product of its digits is 537600, while the sum is 45.

The square root of 85487256 is about 9245.9318621759. The cubic root of 85487256 is about 440.5215166066.

The spelling of 85487256 in words is "eighty-five million, four hundred eighty-seven thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 127 254 381 508 762 1016 1143 1524 2286 3048 4572 9144 9349 18698 28047 37396 56094 74792 84141 112188 168282 224376 336564 673128 1187323 2374646 3561969 4749292 7123938 9498584 10685907 14247876 21371814 28495752 42743628 85487256