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4265058240 = 2636547389
BaseRepresentation
bin1111111000110111…
…1001111111000000
3102000020110102000000
43332031321333000
532213323330430
61543115000000
7210456253062
oct37615717700
912006412000
104265058240
111899572423
129b0439000
1352c807101
142c662d732
1519e680e60
hexfe379fc0

4265058240 has 392 divisors, whose sum is σ = 15591251520. Its totient is φ = 1110288384.

The previous prime is 4265058179. The next prime is 4265058247. The reversal of 4265058240 is 428505624.

It is a happy number.

4265058240 is a `hidden beast` number, since 4 + 26 + 50 + 582 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4265058195 and 4265058204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4265058247) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 10963966 + ... + 10964354.

Almost surely, 24265058240 is an apocalyptic number.

4265058240 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 4265058240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7795625760).

4265058240 is an abundant number, since it is smaller than the sum of its proper divisors (11326193280).

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

4265058240 is an equidigital number, since it uses as much as digits as its factorization.

4265058240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 471 (or 446 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 4265058240 is about 65307.4133617310. The cubic root of 4265058240 is about 1621.7166987065.

The spelling of 4265058240 in words is "four billion, two hundred sixty-five million, fifty-eight thousand, two hundred forty".