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85163808 = 2536114543
BaseRepresentation
bin1010001001101…
…11111100100000
312221020202210010
411010313330200
5133300220213
612241204520
72052610662
oct504677440
9187222703
1085163808
1144088914
1224630740
131484a8b2
14b44c532
157723ac3
hex5137f20

85163808 has 48 divisors (see below), whose sum is σ = 227235456. Its totient is φ = 27920640.

The previous prime is 85163803. The next prime is 85163809. The reversal of 85163808 is 80836158.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85163801) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1416 + ... + 13127.

It is an arithmetic number, because the mean of its divisors is an integer number (4734072).

Almost surely, 285163808 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 85163808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113617728).

85163808 is an abundant number, since it is smaller than the sum of its proper divisors (142071648).

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

85163808 is a wasteful number, since it uses less digits than its factorization.

85163808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14617 (or 14609 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 39.

The square root of 85163808 is about 9228.4239174412. The cubic root of 85163808 is about 439.9652314125.

The spelling of 85163808 in words is "eighty-five million, one hundred sixty-three thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 61 96 122 183 244 366 488 732 976 1464 1952 2928 5856 14543 29086 43629 58172 87258 116344 174516 232688 349032 465376 698064 887123 1396128 1774246 2661369 3548492 5322738 7096984 10645476 14193968 21290952 28387936 42581904 85163808