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52104052 = 2272112133
BaseRepresentation
bin1100011011000…
…0101101110100
310122001011022201
43012300231310
5101314312202
65100434244
71201606600
oct306605564
9118034281
1052104052
1127458600
1215548984
13aa44000
146cc4500
154893387
hex31b0b74

52104052 has 108 divisors (see below), whose sum is σ = 126299460. Its totient is φ = 18738720.

The previous prime is 52104049. The next prime is 52104053. The reversal of 52104052 is 25040125.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

52104052 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 1920996 + 50183056 = 1386^2 + 7084^2 .

It is a nialpdrome in base 13.

It is a zygodrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52104053) 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 35 ways as a sum of consecutive naturals, for example, 4007998 + ... + 4008010.

Almost surely, 252104052 is an apocalyptic number.

52104052 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 52104052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63149730).

52104052 is an abundant number, since it is smaller than the sum of its proper divisors (74195408).

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

52104052 is a wasteful number, since it uses less digits than its factorization.

52104052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 19.

The square root of 52104052 is about 7218.3136534789. The cubic root of 52104052 is about 373.4999083049.

Adding to 52104052 its reverse (25040125), we get a palindrome (77144177).

The spelling of 52104052 in words is "fifty-two million, one hundred four thousand, fifty-two".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 49 52 77 91 98 121 143 154 169 182 196 242 286 308 338 364 484 539 572 637 676 847 1001 1078 1183 1274 1573 1694 1859 2002 2156 2197 2366 2548 3146 3388 3718 4004 4394 4732 5929 6292 7007 7436 8281 8788 11011 11858 13013 14014 15379 16562 20449 22022 23716 24167 26026 28028 30758 33124 40898 44044 48334 52052 61516 77077 81796 91091 96668 107653 143143 154154 169169 182182 215306 265837 286286 308308 338338 364364 430612 531674 572572 676676 1002001 1063348 1184183 1860859 2004002 2368366 3721718 4008004 4736732 7443436 13026013 26052026 52104052