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4425707520 = 212325131847
BaseRepresentation
bin1000001111100101…
…01111000000000000
3102102102202020101100
410013302233000000
533030440120040
62011054134400
7214446615243
oct40762570000
912372666340
104425707520
111971218623
12a361b1400
13556b94260
142ddacb25a
151ad815b30
hex107caf000

4425707520 has 312 divisors, whose sum is σ = 16529569056. Its totient is φ = 1088815104.

The previous prime is 4425707519. The next prime is 4425707593. The reversal of 4425707520 is 257075244.

It is a happy number.

4425707520 is a `hidden beast` number, since 44 + 25 + 70 + 7 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (312).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2395237 + ... + 2397083.

It is an arithmetic number, because the mean of its divisors is an integer number (52979388).

Almost surely, 24425707520 is an apocalyptic number.

4425707520 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 4425707520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8264784528).

4425707520 is an abundant number, since it is smaller than the sum of its proper divisors (12103861536).

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

4425707520 is a wasteful number, since it uses less digits than its factorization.

4425707520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1895 (or 1870 counting only the distinct ones).

The product of its (nonzero) digits is 78400, while the sum is 36.

The square root of 4425707520 is about 66525.9913116671. The cubic root of 4425707520 is about 1641.8276669754.

It can be divided in two parts, 4 and 425707520, that added together give a palindrome (425707524).

The spelling of 4425707520 in words is "four billion, four hundred twenty-five million, seven hundred seven thousand, five hundred twenty".