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52820052 = 22323211907
BaseRepresentation
bin1100100101111…
…1100001010100
310200101112111020
43021133201110
5102010220202
65124041140
71210651215
oct311374124
9120345436
1052820052
11278a753a
12158331b0
13ac34b8c
14702d40c
1549855bc
hex325f854

52820052 has 48 divisors (see below), whose sum is σ = 129357312. Its totient is φ = 16742880.

The previous prime is 52820023. The next prime is 52820059. The reversal of 52820052 is 25002825.

52820052 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 (52820059) 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 15 ways as a sum of consecutive naturals, for example, 57783 + ... + 58689.

It is an arithmetic number, because the mean of its divisors is an integer number (2694944).

Almost surely, 252820052 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 52820052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64678656).

52820052 is an abundant number, since it is smaller than the sum of its proper divisors (76537260).

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

52820052 is a wasteful number, since it uses less digits than its factorization.

52820052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1148 (or 1146 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 52820052 is about 7267.7405016965. The cubic root of 52820052 is about 375.2029763374.

Adding to 52820052 its reverse (25002825), we get a palindrome (77822877).

The spelling of 52820052 in words is "fifty-two million, eight hundred twenty thousand, fifty-two".

Divisors: 1 2 3 4 6 12 23 46 69 92 138 211 276 422 633 844 907 1266 1814 2532 2721 3628 4853 5442 9706 10884 14559 19412 20861 29118 41722 58236 62583 83444 125166 191377 250332 382754 574131 765508 1148262 2296524 4401671 8803342 13205013 17606684 26410026 52820052