Search a number
-
+
2508630401 = 19235779949
BaseRepresentation
bin1001010110000110…
…1010100110000001
320110211102121222002
42111201222212001
520114202133101
61052532353345
7116111002154
oct22541524601
96424377862
102508630401
111078069172
125a0175855
1330c9617b4
1419b259c9b
15ea382d6b
hex9586a981

2508630401 has 16 divisors (see below), whose sum is σ = 2760528000. Its totient is φ = 2269099008.

The previous prime is 2508630389. The next prime is 2508630403. The reversal of 2508630401 is 1040368052.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2508630401 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2508630403) 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, 247175 + ... + 257123.

It is an arithmetic number, because the mean of its divisors is an integer number (172533000).

Almost surely, 22508630401 is an apocalyptic number.

It is an amenable number.

2508630401 is a deficient number, since it is larger than the sum of its proper divisors (251897599).

2508630401 is a wasteful number, since it uses less digits than its factorization.

2508630401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10568.

The product of its (nonzero) digits is 5760, while the sum is 29.

The square root of 2508630401 is about 50086.2296544669. The cubic root of 2508630401 is about 1358.7687820798.

Adding to 2508630401 its reverse (1040368052), we get a palindrome (3548998453).

The spelling of 2508630401 in words is "two billion, five hundred eight million, six hundred thirty thousand, four hundred one".

Divisors: 1 19 23 437 577 9949 10963 13271 189031 228827 252149 4347713 5740573 109070887 132033179 2508630401