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85263354 = 2351141389
BaseRepresentation
bin1010001010100…
…00001111111010
312221102211100000
411011100033322
5133311411404
612243253430
72053504131
oct505201772
9187384300
1085263354
1144146690
122467a276
1314883cb7
14b476918
157743339
hex51503fa

85263354 has 96 divisors (see below), whose sum is σ = 214643520. Its totient is φ = 25142400.

The previous prime is 85263349. The next prime is 85263371. The reversal of 85263354 is 45336258.

It is a happy number.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 218992 + ... + 219380.

It is an arithmetic number, because the mean of its divisors is an integer number (2235870).

Almost surely, 285263354 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85263354, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107321760).

85263354 is an abundant number, since it is smaller than the sum of its proper divisors (129380166).

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

85263354 is a wasteful number, since it uses less digits than its factorization.

85263354 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458 (or 446 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The square root of 85263354 is about 9233.8157876362. The cubic root of 85263354 is about 440.1365863839.

The spelling of 85263354 in words is "eighty-five million, two hundred sixty-three thousand, three hundred fifty-four".

Divisors: 1 2 3 6 9 11 18 22 27 33 41 54 66 81 82 99 123 162 198 243 246 297 369 389 451 486 594 738 778 891 902 1107 1167 1353 1782 2214 2334 2673 2706 3321 3501 4059 4279 5346 6642 7002 8118 8558 9963 10503 12177 12837 15949 19926 21006 24354 25674 31509 31898 36531 38511 47847 63018 73062 77022 94527 95694 109593 115533 143541 175439 189054 219186 231066 287082 346599 350878 430623 526317 693198 861246 1039797 1052634 1291869 1578951 2079594 2583738 3157902 3875607 4736853 7751214 9473706 14210559 28421118 42631677 85263354