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3868509276 = 2232434753171
BaseRepresentation
bin1110011010010100…
…1100010001011100
3100222121021122002100
43212211030101130
530410314244101
61435511325100
7164602533462
oct34645142134
910877248070
103868509276
111705744305
128bb680790
13498603558
14289ac6832
1517994ee86
hexe694c45c

3868509276 has 72 divisors (see below), whose sum is σ = 10219233024. Its totient is φ = 1232693280.

The previous prime is 3868509247. The next prime is 3868509287. The reversal of 3868509276 is 6729058683.

It is a happy number.

3868509276 is a `hidden beast` number, since 3 + 8 + 68 + 509 + 2 + 76 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46171 + ... + 99341.

It is an arithmetic number, because the mean of its divisors is an integer number (141933792).

Almost surely, 23868509276 is an apocalyptic number.

3868509276 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3868509276, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5109616512).

3868509276 is an abundant number, since it is smaller than the sum of its proper divisors (6350723748).

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

3868509276 is a wasteful number, since it uses less digits than its factorization.

3868509276 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53271 (or 53266 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The square root of 3868509276 is about 62197.3413901270. The cubic root of 3868509276 is about 1569.8128539420.

The spelling of 3868509276 in words is "three billion, eight hundred sixty-eight million, five hundred nine thousand, two hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 36 43 47 86 94 129 141 172 188 258 282 387 423 516 564 774 846 1548 1692 2021 4042 6063 8084 12126 18189 24252 36378 53171 72756 106342 159513 212684 319026 478539 638052 957078 1914156 2286353 2499037 4572706 4998074 6859059 7497111 9145412 9996148 13718118 14994222 20577177 22491333 27436236 29988444 41154354 44982666 82308708 89965332 107458591 214917182 322375773 429834364 644751546 967127319 1289503092 1934254638 3868509276