Search a number
-
+
52519104 = 263511307
BaseRepresentation
bin1100100001011…
…0000011000000
310122211020200000
43020112003000
5101421102404
65113400000
71205255631
oct310260300
9118736600
1052519104
1127711420
1215709000
13ab5abc1
146d91888
154926339
hex32160c0

52519104 has 168 divisors, whose sum is σ = 170858688. Its totient is φ = 15863040.

The previous prime is 52519099. The next prime is 52519133. The reversal of 52519104 is 40191525.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 170919 + ... + 171225.

It is an arithmetic number, because the mean of its divisors is an integer number (1017016).

Almost surely, 252519104 is an apocalyptic number.

52519104 is a gapful number since it is divisible by the number (54) 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 52519104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85429344).

52519104 is an abundant number, since it is smaller than the sum of its proper divisors (118339584).

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

52519104 is a wasteful number, since it uses less digits than its factorization.

52519104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 52519104 is about 7247.0065544334. The cubic root of 52519104 is about 374.4890320810.

The spelling of 52519104 in words is "fifty-two million, five hundred nineteen thousand, one hundred four".