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85855302 = 23513107127
BaseRepresentation
bin1010001111000…
…00110001000110
312222112220100000
411013200301012
5133434332202
612304102130
72061521001
oct507406106
9188486300
1085855302
11445103a5
1224904946
1314a30570
14b58c538
15780d91c
hex51e0c46

85855302 has 96 divisors (see below), whose sum is σ = 211341312. Its totient is φ = 25964064.

The previous prime is 85855279. The next prime is 85855327. The reversal of 85855302 is 20355858.

It is a super-2 number, since 2×858553022 = 14742265763022408, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 675963 + ... + 676089.

It is an arithmetic number, because the mean of its divisors is an integer number (2201472).

Almost surely, 285855302 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85855302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105670656).

85855302 is an abundant number, since it is smaller than the sum of its proper divisors (125486010).

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

85855302 is a wasteful number, since it uses less digits than its factorization.

85855302 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The square root of 85855302 is about 9265.8136178104. The cubic root of 85855302 is about 441.1528000288.

The spelling of 85855302 in words is "eighty-five million, eight hundred fifty-five thousand, three hundred two".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 81 107 117 127 162 214 234 243 254 321 351 381 486 642 702 762 963 1053 1143 1391 1651 1926 2106 2286 2782 2889 3159 3302 3429 4173 4953 5778 6318 6858 8346 8667 9906 10287 12519 13589 14859 17334 20574 25038 26001 27178 29718 30861 37557 40767 44577 52002 61722 75114 81534 89154 112671 122301 133731 176657 225342 244602 267462 338013 353314 366903 401193 529971 676026 733806 802386 1059942 1100709 1589913 2201418 3179826 3302127 4769739 6604254 9539478 14309217 28618434 42927651 85855302