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52458013440 = 2832575931097
BaseRepresentation
bin110000110110101111…
…011100001100000000
312000101220000012011200
4300312233130030000
51324413222412230
640033205141200
73534646520460
oct606657341400
9160356005150
1052458013440
112027a1a9a18
12a2000ba800
134c4008b351
142778d71ba0
15157057a160
hexc36bdc300

52458013440 has 432 divisors, whose sum is σ = 207966927168. Its totient is φ = 11959271424.

The previous prime is 52458013427. The next prime is 52458013441. The reversal of 52458013440 is 4431085425.

It is a happy number.

52458013440 is a `hidden beast` number, since 5 + 2 + 4 + 580 + 1 + 34 + 40 = 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 = 52458013395 and 52458013404.

It is not an unprimeable number, because it can be changed into a prime (52458013441) 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, 47818972 + ... + 47820068.

It is an arithmetic number, because the mean of its divisors is an integer number (481404924).

Almost surely, 252458013440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52458013440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103983463584).

52458013440 is an abundant number, since it is smaller than the sum of its proper divisors (155508913728).

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

52458013440 is a wasteful number, since it uses less digits than its factorization.

52458013440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1724 (or 1707 counting only the distinct ones).

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

Adding to 52458013440 its reverse (4431085425), we get a palindrome (56889098865).

The spelling of 52458013440 in words is "fifty-two billion, four hundred fifty-eight million, thirteen thousand, four hundred forty".