Search a number
-
+
85257550 = 25272172389
BaseRepresentation
bin1010001010011…
…10110101001110
312221102112101001
411011032311032
5133311220200
612243210514
72053451200
oct505166516
9187375331
1085257550
1144142294
1224676a3a
1314881471
14b474770
15774176a
hex514ed4e

85257550 has 144 divisors (see below), whose sum is σ = 206102880. Its totient is φ = 26019840.

The previous prime is 85257547. The next prime is 85257563. The reversal of 85257550 is 5575258.

It is a super-3 number, since 3×852575503 (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 957906 + ... + 957994.

It is an arithmetic number, because the mean of its divisors is an integer number (1431270).

Almost surely, 285257550 is an apocalyptic number.

85257550 is an abundant number, since it is smaller than the sum of its proper divisors (120845330).

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

85257550 is a wasteful number, since it uses less digits than its factorization.

85257550 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 70000, while the sum is 37.

The square root of 85257550 is about 9233.5015026803. The cubic root of 85257550 is about 440.1265992456.

The spelling of 85257550 in words is "eighty-five million, two hundred fifty-seven thousand, five hundred fifty".

Divisors: 1 2 5 7 10 14 17 23 25 34 35 46 49 50 70 85 89 98 115 119 161 170 175 178 230 238 245 322 350 391 425 445 490 575 595 623 782 805 833 850 890 1127 1150 1190 1225 1246 1513 1610 1666 1955 2047 2225 2254 2450 2737 2975 3026 3115 3910 4025 4094 4165 4361 4450 5474 5635 5950 6230 7565 8050 8330 8722 9775 10235 10591 11270 13685 14329 15130 15575 19159 19550 20470 20825 21182 21805 27370 28175 28658 31150 34799 37825 38318 41650 43610 51175 52955 56350 68425 69598 71645 74137 75650 95795 100303 102350 105910 109025 136850 143290 148274 173995 191590 200606 218050 243593 264775 347990 358225 370685 478975 487186 501515 529550 716450 741370 869975 957950 1003030 1217965 1705151 1739950 1853425 2435930 2507575 3410302 3706850 5015150 6089825 8525755 12179650 17051510 42628775 85257550