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53023744 = 21053977
BaseRepresentation
bin1100101001000…
…1010000000000
310200202212220101
43022101100000
5102033224434
65132252144
71212460114
oct312212000
9120685811
1053023744
1127a26584
1215911054
13aca67c7
147083744
1549c5b14
hex3291400

53023744 has 44 divisors (see below), whose sum is σ = 108106164. Its totient is φ = 25985024.

The previous prime is 53023741. The next prime is 53023753. The reversal of 53023744 is 44732035.

It can be written as a sum of positive squares in 2 ways, for example, as 44729344 + 8294400 = 6688^2 + 2880^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53023741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 53784 + ... + 54760.

Almost surely, 253023744 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 53023744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54053082).

53023744 is an abundant number, since it is smaller than the sum of its proper divisors (55082420).

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

53023744 is an equidigital number, since it uses as much as digits as its factorization.

53023744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1050 (or 1032 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 28.

The square root of 53023744 is about 7281.7404512932. The cubic root of 53023744 is about 375.6846609148.

Adding to 53023744 its reverse (44732035), we get a palindrome (97755779).

The spelling of 53023744 in words is "fifty-three million, twenty-three thousand, seven hundred forty-four".

Divisors: 1 2 4 8 16 32 53 64 106 128 212 256 424 512 848 977 1024 1696 1954 3392 3908 6784 7816 13568 15632 27136 31264 51781 54272 62528 103562 125056 207124 250112 414248 500224 828496 1000448 1656992 3313984 6627968 13255936 26511872 53023744