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52022752 = 252961919
BaseRepresentation
bin1100011001110…
…0110111100000
310121220000210121
43012130313200
5101304212002
65055010024
71201120555
oct306346740
9117800717
1052022752
1127402511
1215509914
13aa15cc2
146ca2a2c
154879237
hex319cde0

52022752 has 48 divisors (see below), whose sum is σ = 107805600. Its totient is φ = 24675840.

The previous prime is 52022713. The next prime is 52022759. The reversal of 52022752 is 25722025.

52022752 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52022759) 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 7 ways as a sum of consecutive naturals, for example, 56149 + ... + 57067.

It is an arithmetic number, because the mean of its divisors is an integer number (2245950).

Almost surely, 252022752 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 52022752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53902800).

52022752 is an abundant number, since it is smaller than the sum of its proper divisors (55782848).

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

52022752 is a wasteful number, since it uses less digits than its factorization.

52022752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1019 (or 1011 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 25.

The square root of 52022752 is about 7212.6799457622. The cubic root of 52022752 is about 373.3055449838.

Adding to 52022752 its reverse (25722025), we get a palindrome (77744777).

The spelling of 52022752 in words is "fifty-two million, twenty-two thousand, seven hundred fifty-two".

Divisors: 1 2 4 8 16 29 32 58 61 116 122 232 244 464 488 919 928 976 1769 1838 1952 3538 3676 7076 7352 14152 14704 26651 28304 29408 53302 56059 56608 106604 112118 213208 224236 426416 448472 852832 896944 1625711 1793888 3251422 6502844 13005688 26011376 52022752