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4262298480 = 24325111731657
BaseRepresentation
bin1111111000001101…
…1000001101110000
3102000001021012022200
43332003120031300
532212122022410
61542535503200
7210423640116
oct37603301560
912001235280
104262298480
111897a57a30
129ab527b00
1352c07bc0b
142c6111ab6
1519e2d83c0
hexfe0d8370

4262298480 has 240 divisors, whose sum is σ = 16534593504. Its totient is φ = 972472320.

The previous prime is 4262298479. The next prime is 4262298487. The reversal of 4262298480 is 848922624.

4262298480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×42622984802 = 36334376665220620800, which contains 22 as substring.

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 (4262298487) 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, 118812 + ... + 150468.

Almost surely, 24262298480 is an apocalyptic number.

4262298480 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 4262298480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8267296752).

4262298480 is an abundant number, since it is smaller than the sum of its proper divisors (12272295024).

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

4262298480 is a wasteful number, since it uses less digits than its factorization.

4262298480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31704 (or 31695 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 4262298480 is about 65286.2809478377. The cubic root of 4262298480 is about 1621.3668391195.

The spelling of 4262298480 in words is "four billion, two hundred sixty-two million, two hundred ninety-eight thousand, four hundred eighty".