Search a number
-
+
3874082112 = 263227724281
BaseRepresentation
bin1110011011101001…
…1100110101000000
3100222222202202120200
43212322130311000
530413231111422
61440231005200
7165001104015
oct34672346500
910888682520
103874082112
11170890025a
12901509800
13499804ca4
1428a73770c
1517a1a12ac
hexe6e9cd40

3874082112 has 84 divisors (see below), whose sum is σ = 11144903796. Its totient is φ = 1286645760.

The previous prime is 3874082071. The next prime is 3874082129. The reversal of 3874082112 is 2112804783.

3874082112 is a `hidden beast` number, since 38 + 7 + 408 + 211 + 2 = 666.

3874082112 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 2364293376 + 1509788736 = 48624^2 + 38856^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 147412 + ... + 171692.

Almost surely, 23874082112 is an apocalyptic number.

3874082112 is a gapful number since it is divisible by the number (32) 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 3874082112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5572451898).

3874082112 is an abundant number, since it is smaller than the sum of its proper divisors (7270821684).

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

3874082112 is a wasteful number, since it uses less digits than its factorization.

3874082112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24576 (or 24563 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 3874082112 is about 62242.1248994602. The cubic root of 3874082112 is about 1570.5662976665.

Adding to 3874082112 its reverse (2112804783), we get a palindrome (5986886895).

The spelling of 3874082112 in words is "three billion, eight hundred seventy-four million, eighty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 277 288 554 576 831 1108 1662 2216 2493 3324 4432 4986 6648 8864 9972 13296 17728 19944 24281 26592 39888 48562 53184 72843 79776 97124 145686 159552 194248 218529 291372 388496 437058 582744 776992 874116 1165488 1553984 1748232 2330976 3496464 4661952 6725837 6992928 13451674 13985856 20177511 26903348 40355022 53806696 60532533 80710044 107613392 121065066 161420088 215226784 242130132 322840176 430453568 484260264 645680352 968520528 1291360704 1937041056 3874082112