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4250880 = 2834541
BaseRepresentation
bin10000001101110100000000
321222222010000
4100031310000
52042012010
6231040000
751063144
oct20156400
97888100
104250880
112443827
121510000
13b5ab1a
147c9224
1558e7c0
hex40dd00

4250880 has 180 divisors, whose sum is σ = 15581412. Its totient is φ = 1105920.

The previous prime is 4250879. The next prime is 4250887. The reversal of 4250880 is 880524.

It can be written as a sum of positive squares in 2 ways, for example, as 746496 + 3504384 = 864^2 + 1872^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4250887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 103660 + ... + 103700.

Almost surely, 24250880 is an apocalyptic number.

4250880 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 4250880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7790706).

4250880 is an abundant number, since it is smaller than the sum of its proper divisors (11330532).

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

4250880 is an equidigital number, since it uses as much as digits as its factorization.

4250880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 4250880 is about 2061.7662331118. The cubic root of 4250880 is about 161.9917691291.

The spelling of 4250880 in words is "four million, two hundred fifty thousand, eight hundred eighty".