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53420058 = 2321928221
BaseRepresentation
bin1100101111001…
…0000000011010
310201112000112200
43023302000122
5102133420213
65144551030
71216030416
oct313620032
9121460480
1053420058
112817730a
1215a82476
13b0b5003
147147d46
154a53273
hex32f201a

53420058 has 36 divisors (see below), whose sum is σ = 122170698. Its totient is φ = 16867440.

The previous prime is 53420057. The next prime is 53420111. The reversal of 53420058 is 85002435.

It can be written as a sum of positive squares in only one way, i.e., 33143049 + 20277009 = 5757^2 + 4503^2 .

It is not an unprimeable number, because it can be changed into a prime (53420057) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 2388 + ... + 10608.

Almost surely, 253420058 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53420058, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61085349).

53420058 is an abundant number, since it is smaller than the sum of its proper divisors (68750640).

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

53420058 is a wasteful number, since it uses less digits than its factorization.

53420058 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8267 (or 8245 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 53420058 is about 7308.9026536136. The cubic root of 53420058 is about 376.6183286531.

The spelling of 53420058 in words is "fifty-three million, four hundred twenty thousand, fifty-eight".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 342 361 722 1083 2166 3249 6498 8221 16442 24663 49326 73989 147978 156199 312398 468597 937194 1405791 2811582 2967781 5935562 8903343 17806686 26710029 53420058