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3529085004 = 2233194141947
BaseRepresentation
bin1101001001011001…
…1001000001001100
3100002221121002112000
43102112121001030
524211421210004
61342104312300
7153311504364
oct32226310114
910087532460
103529085004
111551092885
12825a72690
134431b0ca3
142569ad9a4
15159c54c39
hexd259904c

3529085004 has 96 divisors (see below), whose sum is σ = 9866169600. Its totient is φ = 1087240320.

The previous prime is 3529084987. The next prime is 3529085041. The reversal of 3529085004 is 4005809253.

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 3529085004.

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, 63159 + ... + 105105.

It is an arithmetic number, because the mean of its divisors is an integer number (102772600).

Almost surely, 23529085004 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 3529085004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4933084800).

3529085004 is an abundant number, since it is smaller than the sum of its proper divisors (6337084596).

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

3529085004 is a wasteful number, since it uses less digits than its factorization.

3529085004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42020 (or 42012 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 3529085004 is about 59406.1024138093. The cubic root of 3529085004 is about 1522.4885660041.

The spelling of 3529085004 in words is "three billion, five hundred twenty-nine million, eighty-five thousand, four".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 41 54 57 76 82 108 114 123 164 171 228 246 342 369 492 513 684 738 779 1026 1107 1476 1558 2052 2214 2337 3116 4428 4674 7011 9348 14022 21033 28044 41947 42066 83894 84132 125841 167788 251682 377523 503364 755046 796993 1132569 1510092 1593986 1719827 2265138 2390979 3187972 3439654 4530276 4781958 5159481 6879308 7172937 9563916 10318962 14345874 15478443 20637924 21518811 28691748 30956886 32676713 43037622 46435329 61913772 65353426 86075244 92870658 98030139 130706852 185741316 196060278 294090417 392120556 588180834 882271251 1176361668 1764542502 3529085004