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52310720 = 2657112193
BaseRepresentation
bin1100011110001…
…1001011000000
310122102122211002
43013203023000
5101342420340
65105111132
71203430250
oct307431300
9118378732
1052310720
1127589900
12156284a8
13aab70b7
146d39960
1548d4715
hex31e32c0

52310720 has 168 divisors, whose sum is σ = 157288992. Its totient is φ = 16220160.

The previous prime is 52310707. The next prime is 52310767. The reversal of 52310720 is 2701325.

It is a super-2 number, since 2×523107202 = 5472822853836800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 52310692 and 52310701.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 270944 + ... + 271136.

It is an arithmetic number, because the mean of its divisors is an integer number (936244).

Almost surely, 252310720 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 52310720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78644496).

52310720 is an abundant number, since it is smaller than the sum of its proper divisors (104978272).

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

52310720 is a wasteful number, since it uses less digits than its factorization.

52310720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 20.

The square root of 52310720 is about 7232.6150180968. The cubic root of 52310720 is about 373.9930794567.

The spelling of 52310720 in words is "fifty-two million, three hundred ten thousand, seven hundred twenty".