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864045536 = 25172276997
BaseRepresentation
bin110011100000000…
…100100111100000
32020012212001122112
4303200010213200
53232143424121
6221423254452
730261160124
oct6340044740
92205761575
10864045536
11403805222
1220144a428
1310a018363
1482a7b584
1550cc875b
hex338049e0

864045536 has 48 divisors (see below), whose sum is σ = 1809346896. Its totient is φ = 404760576.

The previous prime is 864045503. The next prime is 864045557. The reversal of 864045536 is 635540468.

It is a junction number, because it is equal to n+sod(n) for n = 864045493 and 864045502.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 119990 + ... + 126986.

It is an arithmetic number, because the mean of its divisors is an integer number (37694727).

Almost surely, 2864045536 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 864045536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (904673448).

864045536 is an abundant number, since it is smaller than the sum of its proper divisors (945301360).

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

864045536 is a wasteful number, since it uses less digits than its factorization.

864045536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7251 (or 7243 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 41.

The square root of 864045536 is about 29394.6514862823. The cubic root of 864045536 is about 952.4573632699.

The spelling of 864045536 in words is "eight hundred sixty-four million, forty-five thousand, five hundred thirty-six".

Divisors: 1 2 4 8 16 17 32 34 68 136 227 272 454 544 908 1816 3632 3859 6997 7264 7718 13994 15436 27988 30872 55976 61744 111952 118949 123488 223904 237898 475796 951592 1588319 1903184 3176638 3806368 6353276 12706552 25413104 27001423 50826208 54002846 108005692 216011384 432022768 864045536