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4540254400 = 265211614229
BaseRepresentation
bin1000011101001111…
…01100100011000000
3102201102021211011101
410032213230203000
533244301120100
62030305224144
7220340345203
oct41647544300
912642254141
104540254400
111a1a945370
12a68632054
1357482c086
14310dc793a
151b88e086a
hex10e9ec8c0

4540254400 has 168 divisors, whose sum is σ = 12390211440. Its totient is φ = 1623552000.

The previous prime is 4540254347. The next prime is 4540254401. The reversal of 4540254400 is 44520454.

It is a super-2 number, since 2×45402544002 = 41227820033438720000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4540254401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1071486 + ... + 1075714.

Almost surely, 24540254400 is an apocalyptic number.

4540254400 is a gapful number since it is divisible by the number (40) 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 4540254400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6195105720).

4540254400 is an abundant number, since it is smaller than the sum of its proper divisors (7849957040).

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

4540254400 is a wasteful number, since it uses less digits than its factorization.

4540254400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4323 (or 4308 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 28.

The square root of 4540254400 is about 67381.4098991703. The cubic root of 4540254400 is about 1655.8718735226.

Adding to 4540254400 its reverse (44520454), we get a palindrome (4584774854).

The spelling of 4540254400 in words is "four billion, five hundred forty million, two hundred fifty-four thousand, four hundred".