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4298526144 = 26351125127
BaseRepresentation
bin1000000000011011…
…00100110111000000
3102002120102202100000
410000031210313000
532300410314034
61550312200000
7211343604123
oct40015446700
912076382300
104298526144
111906451350
129bb699000
135367246c3
142cac623ba
151a2592599
hex100364dc0

4298526144 has 168 divisors, whose sum is σ = 13939406208. Its totient is φ = 1302531840.

The previous prime is 4298526139. The next prime is 4298526149. The reversal of 4298526144 is 4416258924.

It is a happy number.

4298526144 is a `hidden beast` number, since 4 + 29 + 8 + 5 + 2 + 614 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (4298526139) and next prime (4298526149).

It is a self number, because there is not a number n which added to its sum of digits gives 4298526144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4298526149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 158509 + ... + 183635.

It is an arithmetic number, because the mean of its divisors is an integer number (82972656).

Almost surely, 24298526144 is an apocalyptic number.

4298526144 is a gapful number since it is divisible by the number (44) 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 4298526144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6969703104).

4298526144 is an abundant number, since it is smaller than the sum of its proper divisors (9640880064).

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

4298526144 is a wasteful number, since it uses less digits than its factorization.

4298526144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25165 (or 25143 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The square root of 4298526144 is about 65563.1462332308. The cubic root of 4298526144 is about 1625.9475208073.

The spelling of 4298526144 in words is "four billion, two hundred ninety-eight million, five hundred twenty-six thousand, one hundred forty-four".