Search a number
-
+
2546462968 = 23726496079
BaseRepresentation
bin1001011111000111…
…1111000011111000
320120110121201111021
42113301333003320
520203343303333
61100403312224
7120050402200
oct22761770370
96513551437
102546462968
111097459355
125b097b674
1331774992a
141a22a7400
15ed85782d
hex97c7f0f8

2546462968 has 24 divisors (see below), whose sum is σ = 5554148400. Its totient is φ = 1091341104.

The previous prime is 2546462959. The next prime is 2546462981. The reversal of 2546462968 is 8692646452.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3247648 + ... + 3248431.

It is an arithmetic number, because the mean of its divisors is an integer number (231422850).

Almost surely, 22546462968 is an apocalyptic number.

2546462968 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2546462968 is an abundant number, since it is smaller than the sum of its proper divisors (3007685432).

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

2546462968 is a wasteful number, since it uses less digits than its factorization.

2546462968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6496099 (or 6496088 counting only the distinct ones).

The product of its digits is 4976640, while the sum is 52.

The square root of 2546462968 is about 50462.4907034918. The cubic root of 2546462968 is about 1365.5652447522.

The spelling of 2546462968 in words is "two billion, five hundred forty-six million, four hundred sixty-two thousand, nine hundred sixty-eight".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 392 6496079 12992158 25984316 45472553 51968632 90945106 181890212 318307871 363780424 636615742 1273231484 2546462968