Search a number
-
+
553995541 = 11178933287
BaseRepresentation
bin100001000001010…
…100110100010101
31102121102220000101
4201001110310111
52113310324131
6130550014101
716504612231
oct4101246425
91377386011
10553995541
11264797060
12135647331
138aa0c018
145380d5c1
1533981c61
hex21054d15

553995541 has 16 divisors (see below), whose sum is σ = 647118720. Its totient is φ = 468666880.

The previous prime is 553995539. The next prime is 553995553. The reversal of 553995541 is 145599355.

553995541 is a nontrivial binomial coefficient, being equal to C(33287, 2).

It is not a de Polignac number, because 553995541 - 21 = 553995539 is a prime.

It is a super-2 number, since 2×5539955412 = 613822118895765362, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 553995491 and 553995500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (553995511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1 + ... + 33286.

It is an arithmetic number, because the mean of its divisors is an integer number (40444920).

Almost surely, 2553995541 is an apocalyptic number.

553995541 is the 33286-th triangular number.

553995541 is the 11096-th centered nonagonal number.

It is an amenable number.

553995541 is a deficient number, since it is larger than the sum of its proper divisors (93123179).

553995541 is a wasteful number, since it uses less digits than its factorization.

553995541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33404.

The product of its digits is 607500, while the sum is 46.

The square root of 553995541 is about 23537.1098693106. The cubic root of 553995541 is about 821.3005047449.

The spelling of 553995541 in words is "five hundred fifty-three million, nine hundred ninety-five thousand, five hundred forty-one".

Divisors: 1 11 17 89 187 979 1513 16643 33287 366157 565879 2962543 6224669 32587973 50363231 553995541