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864048108 = 2237119071031
BaseRepresentation
bin110011100000000…
…101001111101100
32020012212012011210
4303200011033230
53232144014413
6221423314420
730261200460
oct6340051754
92205765153
10864048108
11403807150
1220144ba10
1310a019591
1482a7c4a0
1550cc93c3
hex338053ec

864048108 has 96 divisors (see below), whose sum is σ = 2518806528. Its totient is φ = 223963200.

The previous prime is 864048079. The next prime is 864048109. The reversal of 864048108 is 801840468.

It is not an unprimeable number, because it can be changed into a prime (864048109) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 837553 + ... + 838583.

It is an arithmetic number, because the mean of its divisors is an integer number (26237568).

Almost surely, 2864048108 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 864048108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1259403264).

864048108 is an abundant number, since it is smaller than the sum of its proper divisors (1654758420).

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

864048108 is a wasteful number, since it uses less digits than its factorization.

864048108 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1963 (or 1961 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 39.

The square root of 864048108 is about 29394.6952357054. The cubic root of 864048108 is about 952.4583083273.

The spelling of 864048108 in words is "eight hundred sixty-four million, forty-eight thousand, one hundred eight".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 154 231 308 462 907 924 1031 1814 2062 2721 3093 3628 4124 5442 6186 6349 7217 9977 10884 11341 12372 12698 14434 19047 19954 21651 22682 25396 28868 29931 34023 38094 39908 43302 45364 59862 68046 69839 76188 79387 86604 119724 136092 139678 158774 209517 238161 279356 317548 419034 476322 838068 935117 952644 1870234 2805351 3740468 5610702 6545819 10286287 11221404 13091638 19637457 20572574 26183276 30858861 39274914 41145148 61717722 72004009 78549828 123435444 144008018 216012027 288016036 432024054 864048108