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85024056 = 23313299397
BaseRepresentation
bin1010001000101…
…01110100111000
312220222200002010
411010111310320
5133231232211
612234205520
72051456355
oct504256470
9186880063
1085024056
1143aa2917
12245838a0
13147cc0c0
14b41362c
1576e74a6
hex5115d38

85024056 has 64 divisors (see below), whose sum is σ = 236829600. Its totient is φ = 25256448.

The previous prime is 85024013. The next prime is 85024063. The reversal of 85024056 is 65042058.

It is a super-2 number, since 2×850240562 = 14458180197382272, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4350 + ... + 13746.

Almost surely, 285024056 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 85024056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118414800).

85024056 is an abundant number, since it is smaller than the sum of its proper divisors (151805544).

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

85024056 is a wasteful number, since it uses less digits than its factorization.

85024056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9448 (or 9444 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 85024056 is about 9220.8489847736. The cubic root of 85024056 is about 439.7244417876.

The spelling of 85024056 in words is "eighty-five million, twenty-four thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 13 24 26 29 39 52 58 78 87 104 116 156 174 232 312 348 377 696 754 1131 1508 2262 3016 4524 9048 9397 18794 28191 37588 56382 75176 112764 122161 225528 244322 272513 366483 488644 545026 732966 817539 977288 1090052 1465932 1635078 2180104 2931864 3270156 3542669 6540312 7085338 10628007 14170676 21256014 28341352 42512028 85024056