Search a number
-
+
3808098540 = 2232549942397
BaseRepresentation
bin1110001011111010…
…1111100011101100
3100211101121110010200
43202332233203230
530244333123130
61425512433500
7163240206051
oct34276574354
910741543120
103808098540
111684632884
128a33a8890
13488c4165c
14281a7d028
151744ba760
hexe2faf8ec

3808098540 has 72 divisors (see below), whose sum is σ = 11574654000. Its totient is φ = 1013433984.

The previous prime is 3808098527. The next prime is 3808098551. The reversal of 3808098540 is 458908083.

It is a super-2 number, since 2×38080985402 = 29003228980700263200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 68622 + ... + 111018.

Almost surely, 23808098540 is an apocalyptic number.

3808098540 is a gapful number since it is divisible by the number (30) 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 3808098540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5787327000).

3808098540 is an abundant number, since it is smaller than the sum of its proper divisors (7766555460).

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

3808098540 is a wasteful number, since it uses less digits than its factorization.

3808098540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42911 (or 42906 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 3808098540 is about 61709.7929019374. The cubic root of 3808098540 is about 1561.5985340045.

The spelling of 3808098540 in words is "three billion, eight hundred eight million, ninety-eight thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 499 998 1497 1996 2495 2994 4491 4990 5988 7485 8982 9980 14970 17964 22455 29940 42397 44910 84794 89820 127191 169588 211985 254382 381573 423970 508764 635955 763146 847940 1271910 1526292 1907865 2543820 3815730 7631460 21156103 42312206 63468309 84624412 105780515 126936618 190404927 211561030 253873236 317341545 380809854 423122060 634683090 761619708 952024635 1269366180 1904049270 3808098540