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85363656 = 23371947569
BaseRepresentation
bin1010001011010…
…00101111001000
312221121220220220
411011220233020
5133323114111
612245350040
72054402430
oct505505710
9187556826
1085363656
1144204a84
1224708320
13148ba851
14b4a12c0
157762e06
hex5168bc8

85363656 has 128 divisors (see below), whose sum is σ = 262656000. Its totient is φ = 22574592.

The previous prime is 85363651. The next prime is 85363667. The reversal of 85363656 is 65636358.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (85363651) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 149740 + ... + 150308.

It is an arithmetic number, because the mean of its divisors is an integer number (2052000).

Almost surely, 285363656 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 85363656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131328000).

85363656 is an abundant number, since it is smaller than the sum of its proper divisors (177292344).

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

85363656 is a wasteful number, since it uses less digits than its factorization.

85363656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 651 (or 647 counting only the distinct ones).

The product of its digits is 388800, while the sum is 42.

The square root of 85363656 is about 9239.2454237346. The cubic root of 85363656 is about 440.3091078642.

The spelling of 85363656 in words is "eighty-five million, three hundred sixty-three thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 19 21 24 28 38 42 47 56 57 76 84 94 114 133 141 152 168 188 228 266 282 329 376 399 456 532 564 569 658 798 893 987 1064 1128 1138 1316 1596 1707 1786 1974 2276 2632 2679 3192 3414 3572 3948 3983 4552 5358 6251 6828 7144 7896 7966 10716 10811 11949 12502 13656 15932 18753 21432 21622 23898 25004 26743 31864 32433 37506 43244 47796 50008 53486 64866 75012 75677 80229 86488 95592 106972 129732 150024 151354 160458 187201 213944 227031 259464 302708 320916 374402 454062 508117 561603 605416 641832 748804 908124 1016234 1123206 1497608 1524351 1816248 2032468 2246412 3048702 3556819 4064936 4492824 6097404 7113638 10670457 12194808 14227276 21340914 28454552 42681828 85363656