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52661820 = 22351276911
BaseRepresentation
bin1100100011100…
…0111000111100
310200002111102210
43020320320330
5101440134240
65120420420
71206422001
oct310707074
9120074383
1052661820
11277a9672
1215777710
13abaab53
146dcb8a8
154953780
hex3238e3c

52661820 has 48 divisors (see below), whose sum is σ = 148635648. Its totient is φ = 13930560.

The previous prime is 52661813. The next prime is 52661821. The reversal of 52661820 is 2816625.

52661820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52661821) 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, 4165 + ... + 11075.

It is an arithmetic number, because the mean of its divisors is an integer number (3096576).

Almost surely, 252661820 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 52661820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74317824).

52661820 is an abundant number, since it is smaller than the sum of its proper divisors (95973828).

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

52661820 is a wasteful number, since it uses less digits than its factorization.

52661820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7050 (or 7048 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 52661820 is about 7256.8464225172. The cubic root of 52661820 is about 374.8279388431.

The spelling of 52661820 in words is "fifty-two million, six hundred sixty-one thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 127 254 381 508 635 762 1270 1524 1905 2540 3810 6911 7620 13822 20733 27644 34555 41466 69110 82932 103665 138220 207330 414660 877697 1755394 2633091 3510788 4388485 5266182 8776970 10532364 13165455 17553940 26330910 52661820