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4525424640 = 2153451131
BaseRepresentation
bin1000011011011110…
…01000000000000000
3102200101101101120000
410031233020000000
533232002042030
62025015320000
7220100321562
oct41557100000
912611341500
104525424640
111a12536570
12a63680000
13571739079
1430d047332
151b7461860
hex10dbc8000

4525424640 has 640 divisors, whose sum is σ = 18270109440. Its totient is φ = 1061683200.

The previous prime is 4525424627. The next prime is 4525424647. The reversal of 4525424640 is 464245254.

4525424640 is a `hidden beast` number, since 4 + 5 + 2 + 5 + 4 + 2 + 4 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4525424595 and 4525424604.

It is not an unprimeable number, because it can be changed into a prime (4525424647) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 145981425 + ... + 145981455.

It is an arithmetic number, because the mean of its divisors is an integer number (28547046).

Almost surely, 24525424640 is an apocalyptic number.

4525424640 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 4525424640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9135054720).

4525424640 is an abundant number, since it is smaller than the sum of its proper divisors (13744684800).

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

4525424640 is an equidigital number, since it uses as much as digits as its factorization.

4525424640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 36.

The square root of 4525424640 is about 67271.2764855848. The cubic root of 4525424640 is about 1654.0670578485.

Adding to 4525424640 its reverse (464245254), we get a palindrome (4989669894).

The spelling of 4525424640 in words is "four billion, five hundred twenty-five million, four hundred twenty-four thousand, six hundred forty".