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987861056 = 26713712389
BaseRepresentation
bin111010111000011…
…001000001000000
32112211211112121112
4322320121001000
54010343023211
6242005142452
733323452250
oct7270310100
92484745545
10987861056
114676926a6
122369baa28
13129879b90
14952ab960
155bad488b
hex3ae19040

987861056 has 112 divisors (see below), whose sum is σ = 2447665920. Its totient is φ = 385136640.

The previous prime is 987861047. The next prime is 987861071. The reversal of 987861056 is 650168789.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×9878610562 = 1951738931922870272, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 987860995 and 987861013.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 412310 + ... + 414698.

It is an arithmetic number, because the mean of its divisors is an integer number (21854160).

Almost surely, 2987861056 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 987861056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1223832960).

987861056 is an abundant number, since it is smaller than the sum of its proper divisors (1459804864).

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

987861056 is a wasteful number, since it uses less digits than its factorization.

987861056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2492 (or 2482 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 50.

The square root of 987861056 is about 31430.2570145393. The cubic root of 987861056 is about 995.9372013545.

The spelling of 987861056 in words is "nine hundred eighty-seven million, eight hundred sixty-one thousand, fifty-six".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 71 91 104 112 142 182 208 224 284 364 416 448 497 568 728 832 923 994 1136 1456 1846 1988 2272 2389 2912 3692 3976 4544 4778 5824 6461 7384 7952 9556 12922 14768 15904 16723 19112 25844 29536 31057 31808 33446 38224 51688 59072 62114 66892 76448 103376 124228 133784 152896 169619 206752 217399 248456 267568 339238 413504 434798 496912 535136 678476 869596 993824 1070272 1187333 1356952 1739192 1987648 2205047 2374666 2713904 3478384 4410094 4749332 5427808 6956768 8820188 9498664 10855616 13913536 15435329 17640376 18997328 30870658 35280752 37994656 61741316 70561504 75989312 123482632 141123008 246965264 493930528 987861056