Search a number
-
+
52623540 = 223351923223
BaseRepresentation
bin1100100010111…
…1100010110100
310200000112221000
43020233202310
5101432423130
65115523300
71206202254
oct310574264
9120015830
1052623540
1127782932
1215759530
13ab965b8
146dbb964
154947260
hex322f8b4

52623540 has 192 divisors, whose sum is σ = 180633600. Its totient is φ = 12659328.

The previous prime is 52623539. The next prime is 52623547. The reversal of 52623540 is 4532625.

52623540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52623547) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 235869 + ... + 236091.

It is an arithmetic number, because the mean of its divisors is an integer number (940800).

Almost surely, 252623540 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 52623540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90316800).

52623540 is an abundant number, since it is smaller than the sum of its proper divisors (128010060).

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

52623540 is a wasteful number, since it uses less digits than its factorization.

52623540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 52623540 is about 7254.2084337300. The cubic root of 52623540 is about 374.7370957267.

The spelling of 52623540 in words is "fifty-two million, six hundred twenty-three thousand, five hundred forty".