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983857968 = 243310122549
BaseRepresentation
bin111010101001000…
…111101100110000
32112120022011102000
4322221013230300
54003331423333
6241343254000
733244440402
oct7251075460
92476264360
10983857968
114653a9065
122355aa300
13128aa7aa2
1494948b72
155b593713
hex3aa47b30

983857968 has 80 divisors (see below), whose sum is σ = 2852124000. Its totient is φ = 324691200.

The previous prime is 983857939. The next prime is 983857969. The reversal of 983857968 is 869758389.

983857968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (983857969) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32358 + ... + 54906.

It is an arithmetic number, because the mean of its divisors is an integer number (35651550).

Almost surely, 2983857968 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 983857968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1426062000).

983857968 is an abundant number, since it is smaller than the sum of its proper divisors (1868266032).

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

983857968 is a wasteful number, since it uses less digits than its factorization.

983857968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22667 (or 22655 counting only the distinct ones).

The product of its digits is 26127360, while the sum is 63.

The square root of 983857968 is about 31366.5102936237. The cubic root of 983857968 is about 994.5901085178.

The spelling of 983857968 in words is "nine hundred eighty-three million, eight hundred fifty-seven thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 101 108 144 202 216 303 404 432 606 808 909 1212 1616 1818 2424 2727 3636 4848 5454 7272 10908 14544 21816 22549 43632 45098 67647 90196 135294 180392 202941 270588 360784 405882 541176 608823 811764 1082352 1217646 1623528 2277449 2435292 3247056 4554898 4870584 6832347 9109796 9741168 13664694 18219592 20497041 27329388 36439184 40994082 54658776 61491123 81988164 109317552 122982246 163976328 245964492 327952656 491928984 983857968