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85611064 = 23711472957
BaseRepresentation
bin1010001101001…
…01001000111000
312222002111022011
411012211020320
5133404023224
612254535304
72056452640
oct506451070
9188074264
1085611064
1144363950
1224807534
1314976346
14b527520
1577b1394
hex51a5238

85611064 has 64 divisors (see below), whose sum is σ = 204456960. Its totient is φ = 32634240.

The previous prime is 85611061. The next prime is 85611067. The reversal of 85611064 is 46011658.

It is an interprime number because it is at equal distance from previous prime (85611061) and next prime (85611067).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85611061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27474 + ... + 30430.

It is an arithmetic number, because the mean of its divisors is an integer number (3194640).

Almost surely, 285611064 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 85611064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102228480).

85611064 is an abundant number, since it is smaller than the sum of its proper divisors (118845896).

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

85611064 is a wasteful number, since it uses less digits than its factorization.

85611064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3028 (or 3024 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 31.

The square root of 85611064 is about 9252.6247086975. The cubic root of 85611064 is about 440.7340776447.

The spelling of 85611064 in words is "eighty-five million, six hundred eleven thousand, sixty-four".

Divisors: 1 2 4 7 8 11 14 22 28 44 47 56 77 88 94 154 188 308 329 376 517 616 658 1034 1316 2068 2632 2957 3619 4136 5914 7238 11828 14476 20699 23656 28952 32527 41398 65054 82796 130108 138979 165592 227689 260216 277958 455378 555916 910756 972853 1111832 1528769 1821512 1945706 3057538 3891412 6115076 7782824 10701383 12230152 21402766 42805532 85611064