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85775004 = 22337234933
BaseRepresentation
bin1010001110011…
…01001010011100
312222101211012000
411013031022130
5133424300004
612302242300
72061034620
oct507151234
9188354160
1085775004
1144466037
1224886390
1314a02b53
14b56b180
1577e4c39
hex51cd29c

85775004 has 96 divisors (see below), whose sum is σ = 265251840. Its totient is φ = 23436864.

The previous prime is 85774999. The next prime is 85775017. The reversal of 85775004 is 40057758.

85775004 is a `hidden beast` number, since 85 + 77 + 500 + 4 = 666.

It is a super-2 number, since 2×857750042 = 14714702622400032, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 85775004.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 14922 + ... + 19854.

It is an arithmetic number, because the mean of its divisors is an integer number (2763040).

Almost surely, 285775004 is an apocalyptic number.

85775004 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85775004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132625920).

85775004 is an abundant number, since it is smaller than the sum of its proper divisors (179476836).

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

85775004 is a wasteful number, since it uses less digits than its factorization.

85775004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4976 (or 4968 counting only the distinct ones).

The product of its (nonzero) digits is 39200, while the sum is 36.

The square root of 85775004 is about 9261.4795794193. The cubic root of 85775004 is about 441.0152246121.

The spelling of 85775004 in words is "eighty-five million, seven hundred seventy-five thousand, four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 23 27 28 36 42 46 54 63 69 84 92 108 126 138 161 189 207 252 276 322 378 414 483 621 644 756 828 966 1242 1449 1932 2484 2898 4347 4933 5796 8694 9866 14799 17388 19732 29598 34531 44397 59196 69062 88794 103593 113459 133191 138124 177588 207186 226918 266382 310779 340377 414372 453836 532764 621558 680754 794213 932337 1021131 1243116 1361508 1588426 1864674 2042262 2382639 3063393 3176852 3729348 4084524 4765278 6126786 7147917 9530556 12253572 14295834 21443751 28591668 42887502 85775004