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53412820 = 2256143781
BaseRepresentation
bin1100101111000…
…0001111010100
310201111122121121
43023300033110
5102133202240
65144453324
71216000336
oct313601724
9121448547
1053412820
112817192a
1215a7a244
13b0b1926
147145456
154a5104a
hex32f03d4

53412820 has 24 divisors (see below), whose sum is σ = 114008328. Its totient is φ = 21014400.

The previous prime is 53412773. The next prime is 53412839. The reversal of 53412820 is 2821435.

53412820 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 4 ways, for example, as 6791236 + 46621584 = 2606^2 + 6828^2 .

It is a super-3 number, since 3×534128203 (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

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, 20671 + ... + 23110.

It is an arithmetic number, because the mean of its divisors is an integer number (4750347).

Almost surely, 253412820 is an apocalyptic number.

It is an amenable number.

53412820 is an abundant number, since it is smaller than the sum of its proper divisors (60595508).

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

53412820 is a wasteful number, since it uses less digits than its factorization.

53412820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43851 (or 43849 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 53412820 is about 7308.4074872711. The cubic root of 53412820 is about 376.6013182723.

The spelling of 53412820 in words is "fifty-three million, four hundred twelve thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 20 61 122 244 305 610 1220 43781 87562 175124 218905 437810 875620 2670641 5341282 10682564 13353205 26706410 53412820