Search a number
-
+
2452280401 = 23834492861
BaseRepresentation
bin1001001000101010…
…1101010001010001
320022220101202022001
42102022231101101
520010240433101
61043200514001
7114525016354
oct22212552121
96286352261
102452280401
11104928061a
1258531b901
13301091cbc
1419398c29b
15e5451901
hex922ad451

2452280401 has 16 divisors (see below), whose sum is σ = 2596406400. Its totient is φ = 2311429120.

The previous prime is 2452280399. The next prime is 2452280407. The reversal of 2452280401 is 1040822542.

It is a cyclic number.

It is not a de Polignac number, because 2452280401 - 21 = 2452280399 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2452280401.

It is not an unprimeable number, because it can be changed into a prime (2452280407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 855711 + ... + 858571.

It is an arithmetic number, because the mean of its divisors is an integer number (162275400).

Almost surely, 22452280401 is an apocalyptic number.

It is an amenable number.

2452280401 is a deficient number, since it is larger than the sum of its proper divisors (144125999).

2452280401 is a wasteful number, since it uses less digits than its factorization.

2452280401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3416.

The product of its (nonzero) digits is 5120, while the sum is 28.

The square root of 2452280401 is about 49520.5048540501. The cubic root of 2452280401 is about 1348.5178797806.

It can be divided in two parts, 24 and 52280401, that added together give a triangular number (52280425 = T10225).

The spelling of 2452280401 in words is "two billion, four hundred fifty-two million, two hundred eighty thousand, four hundred one".

Divisors: 1 23 83 449 1909 2861 10327 37267 65803 237463 857141 1284589 5461649 29545547 106620887 2452280401