Search a number
-
+
52270920 = 23345131773
BaseRepresentation
bin1100011101100…
…1011101001000
310122100122020000
43013121131020
5101340132140
65104203000
71203203232
oct307313510
9118318200
1052270920
1127561a09
1215609460
13aaa1c50
146d29252
1548c7a30
hex31d9748

52270920 has 320 divisors, whose sum is σ = 203076720. Its totient is φ = 11943936.

The previous prime is 52270913. The next prime is 52270943. The reversal of 52270920 is 2907225.

It is a happy number.

52270920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 21734244 + 30536676 = 4662^2 + 5526^2 .

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

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 716004 + ... + 716076.

Almost surely, 252270920 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 52270920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101538360).

52270920 is an abundant number, since it is smaller than the sum of its proper divisors (150805800).

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

52270920 is a wasteful number, since it uses less digits than its factorization.

52270920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 52270920 is about 7229.8630692427. The cubic root of 52270920 is about 373.8982059702.

It can be divided in two parts, 522709 and 20, that added together give a square (522729 = 7232).

The spelling of 52270920 in words is "fifty-two million, two hundred seventy thousand, nine hundred twenty".