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876738912 = 253712710273
BaseRepresentation
bin110100010000011…
…111100101100000
32021002201221200120
4310100133211200
53243421121122
6222555320240
730504105060
oct6420374540
92232657616
10876738912
1140a994a15
12205750080
1310c840b2a
14846233a0
1551e8475c
hex3441f960

876738912 has 96 divisors (see below), whose sum is σ = 2651185152. Its totient is φ = 248500224.

The previous prime is 876738901. The next prime is 876738917. The reversal of 876738912 is 219837678.

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

It is a super-2 number, since 2×8767389122 = 1537342239629887488, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (876738917) by changing a digit.

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, 80208 + ... + 90480.

It is an arithmetic number, because the mean of its divisors is an integer number (27616512).

Almost surely, 2876738912 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 876738912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1325592576).

876738912 is an abundant number, since it is smaller than the sum of its proper divisors (1774446240).

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

876738912 is a wasteful number, since it uses less digits than its factorization.

876738912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10420 (or 10412 counting only the distinct ones).

The product of its digits is 1016064, while the sum is 51.

The square root of 876738912 is about 29609.7773041271. Note that the first 3 decimals coincide. The cubic root of 876738912 is about 957.0987757399.

The spelling of 876738912 in words is "eight hundred seventy-six million, seven hundred thirty-eight thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 127 168 224 254 336 381 508 672 762 889 1016 1524 1778 2032 2667 3048 3556 4064 5334 6096 7112 10273 10668 12192 14224 20546 21336 28448 30819 41092 42672 61638 71911 82184 85344 123276 143822 164368 215733 246552 287644 328736 431466 493104 575288 862932 986208 1150576 1304671 1725864 2301152 2609342 3451728 3914013 5218684 6903456 7828026 9132697 10437368 15656052 18265394 20874736 27398091 31312104 36530788 41749472 54796182 62624208 73061576 109592364 125248416 146123152 219184728 292246304 438369456 876738912