Search a number
-
+
2548463540 = 2257217198397
BaseRepresentation
bin1001011111100110…
…0111011110110100
320120121101100202112
42113321213132310
520204401313130
61100514230152
7120103403600
oct22771473664
96517340675
102548463540
1110985a5417
125b1585358
13317c9a3bc
141a2668500
15edb00495
hex97e677b4

2548463540 has 288 divisors, whose sum is σ = 7094666880. Its totient is φ = 761757696.

The previous prime is 2548463539. The next prime is 2548463543. The reversal of 2548463540 is 453648452.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2548463543) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26272772 + ... + 26272868.

It is an arithmetic number, because the mean of its divisors is an integer number (24634260).

Almost surely, 22548463540 is an apocalyptic number.

2548463540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2548463540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3547333440).

2548463540 is an abundant number, since it is smaller than the sum of its proper divisors (4546203340).

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

2548463540 is a wasteful number, since it uses less digits than its factorization.

2548463540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 41.

The square root of 2548463540 is about 50482.3091785627. The cubic root of 2548463540 is about 1365.9227597992.

The spelling of 2548463540 in words is "two billion, five hundred forty-eight million, four hundred sixty-three thousand, five hundred forty".