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4475126880 = 253957229
BaseRepresentation
bin1000010101011110…
…10000010001100000
3102112212202000000000
410022233100101200
533131113030010
62020021300000
7215616644100
oct41257202140
912485660000
104475126880
111997102074
12a4a864600
135641a8293
143064b3200
151b2d287c0
hex10abd0460

4475126880 has 720 divisors, whose sum is σ = 19083723120. Its totient is φ = 987614208.

The previous prime is 4475126857. The next prime is 4475126881. The reversal of 4475126880 is 886215744.

4475126880 is a `hidden beast` number, since 447 + 5 + 126 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4475126881) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 154314706 + ... + 154314734.

It is an arithmetic number, because the mean of its divisors is an integer number (26505171).

Almost surely, 24475126880 is an apocalyptic number.

4475126880 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 4475126880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9541861560).

4475126880 is an abundant number, since it is smaller than the sum of its proper divisors (14608596240).

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

4475126880 is an frugal number, since it uses more digits than its factorization.

4475126880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The square root of 4475126880 is about 66896.3891402219. The cubic root of 4475126880 is about 1647.9161793230.

It can be divided in two parts, 44751 and 26880, that added together give a triangular number (71631 = T378).

The spelling of 4475126880 in words is "four billion, four hundred seventy-five million, one hundred twenty-six thousand, eight hundred eighty".