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4540974048 = 253513291549
BaseRepresentation
bin1000011101010100…
…11100001111100000
3102201110122101100000
410032222130033200
533244442132143
62030332500000
7220346433252
oct41652341740
912643571300
104540974048
111a20297016
12a6891a600
13574a217c0
14311133cd2
151b89d3bd3
hex10ea9c3e0

4540974048 has 288 divisors, whose sum is σ = 14928732000. Its totient is φ = 1348171776.

The previous prime is 4540974041. The next prime is 4540974071. The reversal of 4540974048 is 8404790454.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 4540973994 and 4540974012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4540974041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2930778 + ... + 2932326.

It is an arithmetic number, because the mean of its divisors is an integer number (51835875).

Almost surely, 24540974048 is an apocalyptic number.

4540974048 is a gapful number since it is divisible by the number (48) 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 4540974048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7464366000).

4540974048 is an abundant number, since it is smaller than the sum of its proper divisors (10387757952).

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

4540974048 is a wasteful number, since it uses less digits than its factorization.

4540974048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1616 (or 1596 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 4540974048 is about 67386.7497954902. The cubic root of 4540974048 is about 1655.9593562804.

The spelling of 4540974048 in words is "four billion, five hundred forty million, nine hundred seventy-four thousand, forty-eight".