Search a number
-
+
52934026320 = 24325737283859
BaseRepresentation
bin110001010011000111…
…010010010001010000
312001122001201011002100
4301103013102101100
51331402102320240
640152331520400
73552516541230
oct612307222120
9161561634070
1052934026320
11204a397249a
12a3135b9100
134cb7895286
1427c2281cc0
15159c255e30
hexc531d2450

52934026320 has 240 divisors, whose sum is σ = 208657537920. Its totient is φ = 11772158976.

The previous prime is 52934026297. The next prime is 52934026331. The reversal of 52934026320 is 2362043925.

It is a happy number.

52934026320 is a `hidden beast` number, since 5 + 293 + 40 + 2 + 6 + 320 = 666.

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

It is a super-3 number, since 3×529340263203 (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44551 + ... + 328409.

It is an arithmetic number, because the mean of its divisors is an integer number (869406408).

Almost surely, 252934026320 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 52934026320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104328768960).

52934026320 is an abundant number, since it is smaller than the sum of its proper divisors (155723511600).

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

52934026320 is a wasteful number, since it uses less digits than its factorization.

52934026320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283922 (or 283913 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 52934026320 in words is "fifty-two billion, nine hundred thirty-four million, twenty-six thousand, three hundred twenty".