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4250632320 = 273251173919
BaseRepresentation
bin1111110101011011…
…1000000010000000
3101222020022111100200
43331112320002000
532201130213240
61541441445200
7210222531024
oct37526700200
911866274320
104250632320
111891409a80
129a7640800
13529825b6c
142c4756384
1519d281930
hexfd5b8080

4250632320 has 384 divisors, whose sum is σ = 16249334400. Its totient is φ = 1015234560.

The previous prime is 4250632307. The next prime is 4250632327. The reversal of 4250632320 is 232360524.

4250632320 is a `hidden beast` number, since 4 + 2 + 5 + 0 + 632 + 3 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4250632327) 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, 4624821 + ... + 4625739.

It is an arithmetic number, because the mean of its divisors is an integer number (42315975).

Almost surely, 24250632320 is an apocalyptic number.

4250632320 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 4250632320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8124667200).

4250632320 is an abundant number, since it is smaller than the sum of its proper divisors (11998702080).

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

4250632320 is a wasteful number, since it uses less digits than its factorization.

4250632320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1028 (or 1013 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 4250632320 is about 65196.8735446724. The cubic root of 4250632320 is about 1619.8862288643.

Adding to 4250632320 its reverse (232360524), we get a palindrome (4482992844).

The spelling of 4250632320 in words is "four billion, two hundred fifty million, six hundred thirty-two thousand, three hundred twenty".