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53164240 = 2451135881
BaseRepresentation
bin1100101011001…
…1100011010000
310201001000121221
43022303203100
5102102223430
65135254424
71213613533
oct312634320
9121030557
1053164240
1128012098
121597a414
13b02573c
1470bca1a
154a0257a
hex32b38d0

53164240 has 40 divisors (see below), whose sum is σ = 124721928. Its totient is φ = 21073920.

The previous prime is 53164207. The next prime is 53164259. The reversal of 53164240 is 4246135.

It can be written as a sum of positive squares in 4 ways, for example, as 1669264 + 51494976 = 1292^2 + 7176^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6100 + ... + 11980.

Almost surely, 253164240 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 53164240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62360964).

53164240 is an abundant number, since it is smaller than the sum of its proper divisors (71557688).

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

53164240 is a wasteful number, since it uses less digits than its factorization.

53164240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6007 (or 6001 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 53164240 is about 7291.3812134602. The cubic root of 53164240 is about 376.0161830970.

The spelling of 53164240 in words is "fifty-three million, one hundred sixty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 113 226 452 565 904 1130 1808 2260 4520 5881 9040 11762 23524 29405 47048 58810 94096 117620 235240 470480 664553 1329106 2658212 3322765 5316424 6645530 10632848 13291060 26582120 53164240