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52050752 = 261373857
BaseRepresentation
bin1100011010001…
…1101101000000
310121221110012122
43012203231000
5101311111002
65055343412
71201265315
oct306435500
9117843178
1052050752
1127421556
1215521b68
13aa25980
146cacd0c
1548826a2
hex31a3b40

52050752 has 56 divisors (see below), whose sum is σ = 112888776. Its totient is φ = 23666688.

The previous prime is 52050731. The next prime is 52050763. The reversal of 52050752 is 25705025.

It can be written as a sum of positive squares in 4 ways, for example, as 11397376 + 40653376 = 3376^2 + 6376^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 60308 + ... + 61164.

It is an arithmetic number, because the mean of its divisors is an integer number (2015871).

Almost surely, 252050752 is an apocalyptic number.

52050752 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 52050752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56444388).

52050752 is an abundant number, since it is smaller than the sum of its proper divisors (60838024).

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

52050752 is a wasteful number, since it uses less digits than its factorization.

52050752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 955 (or 945 counting only the distinct ones).

The product of its (nonzero) digits is 3500, while the sum is 26.

The square root of 52050752 is about 7214.6207107512. The cubic root of 52050752 is about 373.3725072272.

Adding to 52050752 its reverse (25705025), we get a palindrome (77755777).

The spelling of 52050752 in words is "fifty-two million, fifty thousand, seven hundred fifty-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 73 104 146 208 292 416 584 832 857 949 1168 1714 1898 2336 3428 3796 4672 6856 7592 11141 13712 15184 22282 27424 30368 44564 54848 60736 62561 89128 125122 178256 250244 356512 500488 713024 813293 1000976 1626586 2001952 3253172 4003904 6506344 13012688 26025376 52050752