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876395040 = 25354342461
BaseRepresentation
bin110100001111001…
…011101000100000
32021002002110222120
4310033023220200
53243324120130
6222544104240
730501143403
oct6417135040
92232073876
10876395040
1140a77a624
12205605080
1310c750461
1484573d3a
1551e17910
hex343cba20

876395040 has 96 divisors (see below), whose sum is σ = 2824911936. Its totient is φ = 228264960.

The previous prime is 876395011. The next prime is 876395077. The reversal of 876395040 is 40593678.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×8763950402 = 1536136532273203200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 876394983 and 876395001.

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 15 ways as a sum of consecutive naturals, for example, 591 + ... + 41870.

It is an arithmetic number, because the mean of its divisors is an integer number (29426166).

Almost surely, 2876395040 is an apocalyptic number.

876395040 is a gapful number since it is divisible by the number (80) 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 876395040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1412455968).

876395040 is an abundant number, since it is smaller than the sum of its proper divisors (1948516896).

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

876395040 is a wasteful number, since it uses less digits than its factorization.

876395040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42522 (or 42514 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 876395040 is about 29603.9700040383. The cubic root of 876395040 is about 956.9736292058.

The spelling of 876395040 in words is "eight hundred seventy-six million, three hundred ninety-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 43 48 60 80 86 96 120 129 160 172 215 240 258 344 430 480 516 645 688 860 1032 1290 1376 1720 2064 2580 3440 4128 5160 6880 10320 20640 42461 84922 127383 169844 212305 254766 339688 424610 509532 636915 679376 849220 1019064 1273830 1358752 1698440 1825823 2038128 2547660 3396880 3651646 4076256 5095320 5477469 6793760 7303292 9129115 10190640 10954938 14606584 18258230 20381280 21909876 27387345 29213168 36516460 43819752 54774690 58426336 73032920 87639504 109549380 146065840 175279008 219098760 292131680 438197520 876395040