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53166420 = 22325535573
BaseRepresentation
bin1100101011010…
…0000101010100
310201001010121200
43022310011110
5102102311140
65135312500
71213623066
oct312640524
9121033550
1053166420
112801379a
121597b730
13b026728
1470bd736
154a03030
hex32b4154

53166420 has 72 divisors (see below), whose sum is σ = 164343816. Its totient is φ = 13907712.

The previous prime is 53166413. The next prime is 53166439. The reversal of 53166420 is 2466135.

53166420 is a `hidden beast` number, since 5 + 3 + 16 + 642 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1153476 + 52012944 = 1074^2 + 7212^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6754 + ... + 12326.

It is an arithmetic number, because the mean of its divisors is an integer number (2282553).

Almost surely, 253166420 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 53166420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82171908).

53166420 is an abundant number, since it is smaller than the sum of its proper divisors (111177396).

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

53166420 is a wasteful number, since it uses less digits than its factorization.

53166420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5641 (or 5636 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 53166420 is about 7291.5307034943. The cubic root of 53166420 is about 376.0213225421.

The spelling of 53166420 in words is "fifty-three million, one hundred sixty-six thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 53 60 90 106 159 180 212 265 318 477 530 636 795 954 1060 1590 1908 2385 3180 4770 5573 9540 11146 16719 22292 27865 33438 50157 55730 66876 83595 100314 111460 167190 200628 250785 295369 334380 501570 590738 886107 1003140 1181476 1476845 1772214 2658321 2953690 3544428 4430535 5316642 5907380 8861070 10633284 13291605 17722140 26583210 53166420