Search a number
-
+
85280856 = 23337137701
BaseRepresentation
bin1010001010101…
…00100001011000
312221110201100020
411011110201120
5133312441411
612243510440
72053606143
oct505244130
9187421306
1085280856
1144158851
1224688420
131488bc5b
14b47d05a
157748606
hex5154858

85280856 has 64 divisors (see below), whose sum is σ = 220877280. Its totient is φ = 27417600.

The previous prime is 85280813. The next prime is 85280887. The reversal of 85280856 is 65808258.

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, 121306 + ... + 122006.

Almost surely, 285280856 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 85280856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110438640).

85280856 is an abundant number, since it is smaller than the sum of its proper divisors (135596424).

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

85280856 is a wasteful number, since it uses less digits than its factorization.

85280856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 884 (or 880 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 42.

The square root of 85280856 is about 9234.7634512206. The cubic root of 85280856 is about 440.1666999209.

The spelling of 85280856 in words is "eighty-five million, two hundred eighty thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 24 37 74 111 137 148 222 274 296 411 444 548 701 822 888 1096 1402 1644 2103 2804 3288 4206 5069 5608 8412 10138 15207 16824 20276 25937 30414 40552 51874 60828 77811 96037 103748 121656 155622 192074 207496 288111 311244 384148 576222 622488 768296 1152444 2304888 3553369 7106738 10660107 14213476 21320214 28426952 42640428 85280856