Search a number
-
+
85295028 = 223713194111
BaseRepresentation
bin1010001010101…
…11111110110100
312221111102210010
411011113332310
5133313420103
612244100220
72053665360
oct505277664
9187442703
1085295028
1144168465
1224694670
1314895540
14b4842a0
15774c903
hex5157fb4

85295028 has 96 divisors (see below), whose sum is σ = 257904640. Its totient is φ = 21306240.

The previous prime is 85295011. The next prime is 85295039. The reversal of 85295028 is 82059258.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18693 + ... + 22803.

Almost surely, 285295028 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 85295028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128952320).

85295028 is an abundant number, since it is smaller than the sum of its proper divisors (172609612).

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

85295028 is a wasteful number, since it uses less digits than its factorization.

85295028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4157 (or 4155 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 39.

The square root of 85295028 is about 9235.5307373209. The cubic root of 85295028 is about 440.1910809182.

The spelling of 85295028 in words is "eighty-five million, two hundred ninety-five thousand, twenty-eight".

Divisors: 1 2 3 4 6 7 12 13 14 19 21 26 28 38 39 42 52 57 76 78 84 91 114 133 156 182 228 247 266 273 364 399 494 532 546 741 798 988 1092 1482 1596 1729 2964 3458 4111 5187 6916 8222 10374 12333 16444 20748 24666 28777 49332 53443 57554 78109 86331 106886 115108 156218 160329 172662 213772 234327 312436 320658 345324 374101 468654 546763 641316 748202 937308 1015417 1093526 1122303 1496404 1640289 2030834 2187052 2244606 3046251 3280578 4061668 4489212 6092502 6561156 7107919 12185004 14215838 21323757 28431676 42647514 85295028