Search a number
-
+
52807680 = 211335191
BaseRepresentation
bin1100100101110…
…0100000000000
310200100220112000
43021130200000
5102004321210
65123504000
71210600152
oct311344000
9120326460
1052807680
1127899212
1215828000
13ac2c363
147028ad2
154981ac0
hex325c800

52807680 has 192 divisors, whose sum is σ = 188697600. Its totient is φ = 14008320.

The previous prime is 52807613. The next prime is 52807681. The reversal of 52807680 is 8670825.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is not an unprimeable number, because it can be changed into a prime (52807681) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 276385 + ... + 276575.

It is an arithmetic number, because the mean of its divisors is an integer number (982800).

Almost surely, 252807680 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 52807680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94348800).

52807680 is an abundant number, since it is smaller than the sum of its proper divisors (135889920).

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

52807680 is a wasteful number, since it uses less digits than its factorization.

52807680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 52807680 is about 7266.8892932258. The cubic root of 52807680 is about 375.1736795487.

The spelling of 52807680 in words is "fifty-two million, eight hundred seven thousand, six hundred eighty".