Search a number
-
+
52929593640 = 233357112327673
BaseRepresentation
bin110001010010110110…
…011000000100101000
312001121202100221121000
4301102312120010220
51331344433444030
640152052515000
73552434060040
oct612266300450
9161552327530
1052929593640
11204a1415120
12a31201ba60
134cb69a27a1
1427c184a720
15159bb7c860
hexc52d98128

52929593640 has 512 divisors, whose sum is σ = 229539225600. Its totient is φ = 10519787520.

The previous prime is 52929593603. The next prime is 52929593641. The reversal of 52929593640 is 4639592925.

It is a happy number.

52929593640 is a `hidden beast` number, since 5 + 2 + 9 + 2 + 9 + 593 + 6 + 40 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (52929593641) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1898844 + ... + 1926516.

It is an arithmetic number, because the mean of its divisors is an integer number (448318800).

Almost surely, 252929593640 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 52929593640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114769612800).

52929593640 is an abundant number, since it is smaller than the sum of its proper divisors (176609631960).

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

52929593640 is a wasteful number, since it uses less digits than its factorization.

52929593640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27734 (or 27724 counting only the distinct ones).

The product of its (nonzero) digits is 5248800, while the sum is 54.

The spelling of 52929593640 in words is "fifty-two billion, nine hundred twenty-nine million, five hundred ninety-three thousand, six hundred forty".