Search a number
-
+
52520832 = 2733713167
BaseRepresentation
bin1100100001011…
…0011110000000
310122211100001000
43020112132000
5101421131312
65113412000
71205263650
oct310263600
9118740030
1052520832
1127712751
121570a000
13ab5b920
146d92360
154926adc
hex3216780

52520832 has 256 divisors, whose sum is σ = 191923200. Its totient is φ = 13768704.

The previous prime is 52520813. The next prime is 52520857. The reversal of 52520832 is 23802525.

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

It is a junction number, because it is equal to n+sod(n) for n = 52520796 and 52520805.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 314413 + ... + 314579.

It is an arithmetic number, because the mean of its divisors is an integer number (749700).

Almost surely, 252520832 is an apocalyptic number.

52520832 is a gapful number since it is divisible by the number (52) 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 52520832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95961600).

52520832 is an abundant number, since it is smaller than the sum of its proper divisors (139402368).

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

52520832 is a wasteful number, since it uses less digits than its factorization.

52520832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 52520832 is about 7247.1257750918. The cubic root of 52520832 is about 374.4931392211.

The spelling of 52520832 in words is "fifty-two million, five hundred twenty thousand, eight hundred thirty-two".