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4425224040 = 2332567271677
BaseRepresentation
bin1000001111100001…
…11000111101101000
3102102101211200011200
410013300320331220
533030324132130
62011035524200
7214442532546
oct40760707550
912371750150
104425224040
111970a18356
12a35bb9660
13556a55183
142dda02d96
151ad76c760
hex107c38f68

4425224040 has 192 divisors, whose sum is σ = 14672136960. Its totient is φ = 1156446720.

The previous prime is 4425224021. The next prime is 4425224059. The reversal of 4425224040 is 404225244.

4425224040 is a `hidden beast` number, since 4 + 4 + 252 + 2 + 404 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4425224021) and next prime (4425224059).

It is a junction number, because it is equal to n+sod(n) for n = 4425223995 and 4425224013.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6536182 + ... + 6536858.

It is an arithmetic number, because the mean of its divisors is an integer number (76417380).

Almost surely, 24425224040 is an apocalyptic number.

4425224040 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 4425224040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7336068480).

4425224040 is an abundant number, since it is smaller than the sum of its proper divisors (10246912920).

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

4425224040 is a wasteful number, since it uses less digits than its factorization.

4425224040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1032 (or 1025 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 27.

The square root of 4425224040 is about 66522.3574446967. The cubic root of 4425224040 is about 1641.7678784374.

Adding to 4425224040 its reverse (404225244), we get a palindrome (4829449284).

The spelling of 4425224040 in words is "four billion, four hundred twenty-five million, two hundred twenty-four thousand, forty".