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53713024 = 272331801
BaseRepresentation
bin1100110011100…
…1100010000000
310202001220102021
43030321202000
5102222304044
65155131224
71221360511
oct314714200
9122056367
1053713024
1128357432
1215ba3b14
13b188471
1471c2a08
154aaee84
hex3339880

53713024 has 32 divisors (see below), whose sum is σ = 107525340. Its totient is φ = 26726400.

The previous prime is 53713021. The next prime is 53713039. The reversal of 53713024 is 42031735.

It can be written as a sum of positive squares in 2 ways, for example, as 46785600 + 6927424 = 6840^2 + 2632^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a self number, because there is not a number n which added to its sum of digits gives 53713024.

It is not an unprimeable number, because it can be changed into a prime (53713021) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 28924 + ... + 30724.

Almost surely, 253713024 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 53713024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53762670).

53713024 is an abundant number, since it is smaller than the sum of its proper divisors (53812316).

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

53713024 is a wasteful number, since it uses less digits than its factorization.

53713024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2048 (or 2036 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 25.

The square root of 53713024 is about 7328.9169731960. The cubic root of 53713024 is about 377.3055566324.

Adding to 53713024 its reverse (42031735), we get a palindrome (95744759).

The spelling of 53713024 in words is "fifty-three million, seven hundred thirteen thousand, twenty-four".

Divisors: 1 2 4 8 16 32 64 128 233 466 932 1801 1864 3602 3728 7204 7456 14408 14912 28816 29824 57632 115264 230528 419633 839266 1678532 3357064 6714128 13428256 26856512 53713024