Search a number
-
+
5635397448 = 23369832
BaseRepresentation
bin1010011111110010…
…10101011101001000
3112112201222212000000
411033321111131020
543020130204243
62331110043000
7256436042112
oct51771253510
915481885000
105635397448
11243204256a
121113349460
136ba69c105
143b66203b2
1522eb175d3
hex14fe55748

5635397448 has 84 divisors (see below), whose sum is σ = 15858440835. Its totient is φ = 1876554864.

The previous prime is 5635397447. The next prime is 5635397459. The reversal of 5635397448 is 8447935365.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

5635397448 is a `hidden beast` number, since 5 + 63 + 53 + 97 + 448 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2817698724 + 2817698724 = 53082^2 + 53082^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=53082.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 5635397394 and 5635397403.

It is not an unprimeable number, because it can be changed into a prime (5635397441) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 5732365 + ... + 5733347.

Almost surely, 25635397448 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5635397448

5635397448 is an abundant number, since it is smaller than the sum of its proper divisors (10223043387).

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

5635397448 is an frugal number, since it uses more digits than its factorization.

5635397448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1990 (or 988 counting only the distinct ones).

The product of its digits is 10886400, while the sum is 54.

The square root of 5635397448 is about 75069.2843178886. The cubic root of 5635397448 is about 1779.5417589085.

The spelling of 5635397448 in words is "five billion, six hundred thirty-five million, three hundred ninety-seven thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 729 972 983 1458 1944 1966 2916 2949 3932 5832 5898 7864 8847 11796 17694 23592 26541 35388 53082 70776 79623 106164 159246 212328 238869 318492 477738 636984 716607 955476 966289 1433214 1910952 1932578 2866428 2898867 3865156 5732856 5797734 7730312 8696601 11595468 17393202 23190936 26089803 34786404 52179606 69572808 78269409 104359212 156538818 208718424 234808227 313077636 469616454 626155272 704424681 939232908 1408849362 1878465816 2817698724 5635397448