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864197424 = 243724697
BaseRepresentation
bin110011100000101…
…001101100110000
32020020010210000000
4303200221230300
53232213304144
6221430430000
730262362006
oct6340515460
92206123000
10864197424
114038a9352
12201502300
1310a06c52c
1482abaa76
1550d08769
hex33829b30

864197424 has 80 divisors (see below), whose sum is σ = 2511292640. Its totient is φ = 288054144.

The previous prime is 864197407. The next prime is 864197429. The reversal of 864197424 is 424791468.

It is a self number, because there is not a number n which added to its sum of digits gives 864197424.

It is not an unprimeable number, because it can be changed into a prime (864197429) 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, 22644 + ... + 47340.

It is an arithmetic number, because the mean of its divisors is an integer number (31391158).

Almost surely, 2864197424 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 864197424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1255646320).

864197424 is an abundant number, since it is smaller than the sum of its proper divisors (1647095216).

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

864197424 is an equidigital number, since it uses as much as digits as its factorization.

864197424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24726 (or 24702 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 864197424 is about 29397.2349720174. The cubic root of 864197424 is about 952.5131698842.

The spelling of 864197424 in words is "eight hundred sixty-four million, one hundred ninety-seven thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 648 729 972 1296 1458 1944 2187 2916 3888 4374 5832 8748 11664 17496 24697 34992 49394 74091 98788 148182 197576 222273 296364 395152 444546 592728 666819 889092 1185456 1333638 1778184 2000457 2667276 3556368 4000914 5334552 6001371 8001828 10669104 12002742 16003656 18004113 24005484 32007312 36008226 48010968 54012339 72016452 96021936 108024678 144032904 216049356 288065808 432098712 864197424