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52246688 = 251329661
BaseRepresentation
bin1100011101001…
…1100010100000
310122022101222112
43013103202200
5101333343223
65103454452
71203042464
oct307234240
9118271875
1052246688
112754578a
12155b7428
13aa93c00
146d204a4
1548c0778
hex31d38a0

52246688 has 36 divisors (see below), whose sum is σ = 111393198. Its totient is φ = 24111360.

The previous prime is 52246681. The next prime is 52246693. The reversal of 52246688 is 88664225.

It can be written as a sum of positive squares in 3 ways, for example, as 7997584 + 44249104 = 2828^2 + 6652^2 .

It is not an unprimeable number, because it can be changed into a prime (52246681) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 578 + ... + 10238.

Almost surely, 252246688 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 52246688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55696599).

52246688 is an abundant number, since it is smaller than the sum of its proper divisors (59146510).

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

52246688 is a wasteful number, since it uses less digits than its factorization.

52246688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9697 (or 9676 counting only the distinct ones).

The product of its digits is 184320, while the sum is 41.

The square root of 52246688 is about 7228.1870479395. The cubic root of 52246688 is about 373.8404192074.

The spelling of 52246688 in words is "fifty-two million, two hundred forty-six thousand, six hundred eighty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 104 169 208 338 416 676 1352 2704 5408 9661 19322 38644 77288 125593 154576 251186 309152 502372 1004744 1632709 2009488 3265418 4018976 6530836 13061672 26123344 52246688