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864538536 = 2331723181509
BaseRepresentation
bin110011100001111…
…100111110101000
32020020210002220210
4303201330332220
53232310213121
6221442021120
730265312341
oct6341747650
92206702823
10864538536
11404011664
122016477a0
1310a15b884
1482b690c8
1550d74876
hex3387cfa8

864538536 has 128 divisors (see below), whose sum is σ = 2405894400. Its totient is φ = 257495040.

The previous prime is 864538523. The next prime is 864538537. The reversal of 864538536 is 635835468.

It is not an unprimeable number, because it can be changed into a prime (864538537) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1698250 + ... + 1698758.

It is an arithmetic number, because the mean of its divisors is an integer number (18796050).

Almost surely, 2864538536 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 864538536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1202947200).

864538536 is an abundant number, since it is smaller than the sum of its proper divisors (1541355864).

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

864538536 is a wasteful number, since it uses less digits than its factorization.

864538536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 739 (or 735 counting only the distinct ones).

The product of its digits is 2073600, while the sum is 48.

The square root of 864538536 is about 29403.0361697563. The cubic root of 864538536 is about 952.6384772593.

The spelling of 864538536 in words is "eight hundred sixty-four million, five hundred thirty-eight thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 17 23 24 34 46 51 68 69 92 102 136 138 181 184 204 276 362 391 408 509 543 552 724 782 1018 1086 1173 1448 1527 1564 2036 2172 2346 3054 3077 3128 4072 4163 4344 4692 6108 6154 8326 8653 9231 9384 11707 12216 12308 12489 16652 17306 18462 23414 24616 24978 25959 33304 34612 35121 36924 46828 49956 51918 69224 70242 70771 73848 92129 93656 99912 103836 140484 141542 184258 199019 207672 212313 276387 280968 283084 368516 398038 424626 552774 566168 597057 737032 796076 849252 1105548 1194114 1566193 1592152 1698504 2118967 2211096 2388228 3132386 4237934 4698579 4776456 6264772 6356901 8475868 9397158 12529544 12713802 16951736 18794316 25427604 36022439 37588632 50855208 72044878 108067317 144089756 216134634 288179512 432269268 864538536