Search a number
-
+
1099451808 = 253272132461
BaseRepresentation
bin100000110001000…
…0100110110100000
32211121210221100100
41001202010312200
54222424424213
6301033022400
736150120600
oct10142046640
92747727310
101099451808
11514680464
12268254a00
13146a1b300
14a6038c00
15667c8773
hex41884da0

1099451808 has 324 divisors, whose sum is σ = 3946860918. Its totient is φ = 289336320.

The previous prime is 1099451753. The next prime is 1099451809. The reversal of 1099451808 is 8081549901.

It can be written as a sum of positive squares in 3 ways, for example, as 451647504 + 647804304 = 21252^2 + 25452^2 .

It is a super-2 number, since 2×10994518082 = 2417588556228937728, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1099451809) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 2384698 + ... + 2385158.

Almost surely, 21099451808 is an apocalyptic number.

1099451808 is a gapful number since it is divisible by the number (18) 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 1099451808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1973430459).

1099451808 is an abundant number, since it is smaller than the sum of its proper divisors (2847409110).

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

1099451808 is a wasteful number, since it uses less digits than its factorization.

1099451808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 517 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 45.

The square root of 1099451808 is about 33157.9825683047. The cubic root of 1099451808 is about 1032.1086058407.

The spelling of 1099451808 in words is "one billion, ninety-nine million, four hundred fifty-one thousand, eight hundred eight".