Search a number
-
+
4298987520 = 2113457173
BaseRepresentation
bin1000000000011110…
…10101100000000000
3102002121022012020000
410000033111200000
532301020100040
61550330120000
7211350535212
oct40017254000
912077265200
104298987520
111906736a53
129bb880000
135368566c9
142cad425b2
151a2634130
hex1003d5800

4298987520 has 480 divisors, whose sum is σ = 15839984160. Its totient is φ = 1114767360.

The previous prime is 4298987509. The next prime is 4298987551. The reversal of 4298987520 is 257898924.

4298987520 is a `hidden beast` number, since 4 + 29 + 8 + 98 + 7 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 58890204 + ... + 58890276.

It is an arithmetic number, because the mean of its divisors is an integer number (32999967).

Almost surely, 24298987520 is an apocalyptic number.

4298987520 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 4298987520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7919992080).

4298987520 is an abundant number, since it is smaller than the sum of its proper divisors (11540996640).

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

4298987520 is an equidigital number, since it uses as much as digits as its factorization.

4298987520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The square root of 4298987520 is about 65566.6647008981. The cubic root of 4298987520 is about 1626.0056916237.

The spelling of 4298987520 in words is "four billion, two hundred ninety-eight million, nine hundred eighty-seven thousand, five hundred twenty".