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53393920 = 29520857
BaseRepresentation
bin1100101110101…
…1101000000000
310201110200200121
43023223220000
5102132101140
65144230024
71215561256
oct313535000
9121420617
1053393920
1128159708
1215a6b314
13b0a6148
14713c5d6
154a4a64a
hex32eba00

53393920 has 40 divisors (see below), whose sum is σ = 128026404. Its totient is φ = 21356544.

The previous prime is 53393911. The next prime is 53393929. The reversal of 53393920 is 2939335.

It is an interprime number because it is at equal distance from previous prime (53393911) and next prime (53393929).

It can be written as a sum of positive squares in 2 ways, for example, as 50239744 + 3154176 = 7088^2 + 1776^2 .

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

It is not an unprimeable number, because it can be changed into a prime (53393929) 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 3 ways as a sum of consecutive naturals, for example, 7869 + ... + 12988.

Almost surely, 253393920 is an apocalyptic number.

It is an amenable number.

53393920 is an abundant number, since it is smaller than the sum of its proper divisors (74632484).

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

53393920 is an equidigital number, since it uses as much as digits as its factorization.

53393920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20880 (or 20864 counting only the distinct ones).

The product of its (nonzero) digits is 21870, while the sum is 34.

The square root of 53393920 is about 7307.1143415168. The cubic root of 53393920 is about 376.5568932035.

The spelling of 53393920 in words is "fifty-three million, three hundred ninety-three thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1280 2560 20857 41714 83428 104285 166856 208570 333712 417140 667424 834280 1334848 1668560 2669696 3337120 5339392 6674240 10678784 13348480 26696960 53393920