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85111656 = 23371721753
BaseRepresentation
bin1010001001010…
…11001101101000
312221011010020120
411010223031220
5133242033111
612240123240
72052302640
oct504531550
9187133216
1085111656
1144052713
1224606520
131482cc36
14b437520
157713406
hex512b368

85111656 has 96 divisors (see below), whose sum is σ = 258469440. Its totient is φ = 22874112.

The previous prime is 85111633. The next prime is 85111657. The reversal of 85111656 is 65611158.

It is not an unprimeable number, because it can be changed into a prime (85111657) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47676 + ... + 49428.

It is an arithmetic number, because the mean of its divisors is an integer number (2692390).

Almost surely, 285111656 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 85111656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129234720).

85111656 is an abundant number, since it is smaller than the sum of its proper divisors (173357784).

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

85111656 is a wasteful number, since it uses less digits than its factorization.

85111656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1803 (or 1782 counting only the distinct ones).

The product of its digits is 7200, while the sum is 33.

The square root of 85111656 is about 9225.5978668052. The cubic root of 85111656 is about 439.8754054933.

The spelling of 85111656 in words is "eighty-five million, one hundred eleven thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 17 21 24 28 34 42 51 56 68 84 102 119 136 168 204 238 289 357 408 476 578 714 867 952 1156 1428 1734 1753 2023 2312 2856 3468 3506 4046 5259 6069 6936 7012 8092 10518 12138 12271 14024 16184 21036 24276 24542 29801 36813 42072 48552 49084 59602 73626 89403 98168 119204 147252 178806 208607 238408 294504 357612 417214 506617 625821 715224 834428 1013234 1251642 1519851 1668856 2026468 2503284 3039702 3546319 4052936 5006568 6079404 7092638 10638957 12158808 14185276 21277914 28370552 42555828 85111656