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52673860 = 22529197461
BaseRepresentation
bin1100100011101…
…1110101000100
310200010002221201
43020323311010
5101441030420
65120552244
71206502051
oct310736504
9120102851
1052673860
1127807718
1215782684
13abb3485
146dd2028
15495710a
hex323bd44

52673860 has 48 divisors (see below), whose sum is σ = 115259760. Its totient is φ = 20195840.

The previous prime is 52673857. The next prime is 52673869. The reversal of 52673860 is 6837625.

52673860 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 8 ways, for example, as 1522756 + 51151104 = 1234^2 + 7152^2 .

It is not an unprimeable number, because it can be changed into a prime (52673869) 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, 114030 + ... + 114490.

It is an arithmetic number, because the mean of its divisors is an integer number (2401245).

Almost surely, 252673860 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 52673860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57629880).

52673860 is an abundant number, since it is smaller than the sum of its proper divisors (62585900).

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

52673860 is a wasteful number, since it uses less digits than its factorization.

52673860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 696 (or 694 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 37.

The square root of 52673860 is about 7257.6759365516. The cubic root of 52673860 is about 374.8565021330.

The spelling of 52673860 in words is "fifty-two million, six hundred seventy-three thousand, eight hundred sixty".

Divisors: 1 2 4 5 10 20 29 58 116 145 197 290 394 461 580 788 922 985 1844 1970 2305 3940 4610 5713 9220 11426 13369 22852 26738 28565 53476 57130 66845 90817 114260 133690 181634 267380 363268 454085 908170 1816340 2633693 5267386 10534772 13168465 26336930 52673860