Search a number
-
+
5321848401 = 32243172
BaseRepresentation
bin1001111010011010…
…01111011001010001
3111201212222220120100
410331031033121101
541344343122101
62240025403013
7245610652002
oct47515173121
914655886510
105321848401
112291054521
121046339469
1366a73922c
14386b211a9
1521232de86
hex13d34f651

5321848401 has 9 divisors (see below), whose sum is σ = 7687430491. Its totient is φ = 3547753032.

The previous prime is 5321848369. The next prime is 5321848429. The reversal of 5321848401 is 1048481235.

The square root of 5321848401 is 72951.

It is a perfect power (a square), and thus also a powerful number.

5321848401 is a `hidden beast` number, since 532 + 1 + 84 + 8 + 40 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3630665025 + 1691183376 = 60255^2 + 41124^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 5321848401 - 25 = 5321848369 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (5321848481) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 206695 + ... + 231011.

Almost surely, 25321848401 is an apocalyptic number.

5321848401 is the 72951-st square number.

5321848401 is the 36476-th centered octagonal number.

It is an amenable number.

5321848401 is a deficient number, since it is larger than the sum of its proper divisors (2365582090).

5321848401 is an frugal number, since it uses more digits than its factorization.

5321848401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48640 (or 24320 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The cubic root of 5321848401 is about 1745.9059016060.

Multiplying 5321848401 by its sum of digits (36), we get a square (191586542436 = 4377062).

It can be divided in two parts, 5321848 and 401, that added together give a square (5322249 = 23072).

The spelling of 5321848401 in words is "five billion, three hundred twenty-one million, eight hundred forty-eight thousand, four hundred one".

Divisors: 1 3 9 24317 72951 218853 591316489 1773949467 5321848401