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875485890 = 2325173531621
BaseRepresentation
bin110100001011101…
…101101011000010
32021000101021212100
4310023231223002
53243111022030
6222512411230
730460335666
oct6413555302
92230337770
10875485890
1140a209564
12205246b16
1310c4c26b6
14843b88a6
1551cd8360
hex342edac2

875485890 has 96 divisors (see below), whose sum is σ = 2418479856. Its totient is φ = 218972160.

The previous prime is 875485883. The next prime is 875485903. The reversal of 875485890 is 98584578.

875485890 is a `hidden beast` number, since 8 + 7 + 54 + 8 + 589 + 0 = 666.

875485890 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 584817489 + 290668401 = 24183^2 + 17049^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 539280 + ... + 540900.

Almost surely, 2875485890 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 875485890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1209239928).

875485890 is an abundant number, since it is smaller than the sum of its proper divisors (1542993966).

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

875485890 is a wasteful number, since it uses less digits than its factorization.

875485890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2004 (or 2001 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 54.

The square root of 875485890 is about 29588.6108156500. The cubic root of 875485890 is about 956.6426013174.

The spelling of 875485890 in words is "eight hundred seventy-five million, four hundred eighty-five thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 90 102 153 170 255 306 353 510 706 765 1059 1530 1621 1765 2118 3177 3242 3530 4863 5295 6001 6354 8105 9726 10590 12002 14589 15885 16210 18003 24315 27557 29178 30005 31770 36006 48630 54009 55114 60010 72945 82671 90015 108018 137785 145890 165342 180030 248013 270045 275570 413355 496026 540090 572213 826710 1144426 1240065 1716639 2480130 2861065 3433278 5149917 5722130 8583195 9727621 10299834 17166390 19455242 25749585 29182863 48638105 51499170 58365726 87548589 97276210 145914315 175097178 291828630 437742945 875485890