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52823824 = 24232792
BaseRepresentation
bin1100100110000…
…0011100010000
310200101201122221
43021200130100
5102010330244
65124110424
71210665214
oct311403420
9120351587
1052823824
11278aa359
1215835414
13ac36801
147030944
154986784
hex3260710

52823824 has 45 divisors (see below), whose sum is σ = 108360903. Its totient is φ = 24943776.

The previous prime is 52823807. The next prime is 52823831. The reversal of 52823824 is 42832825.

It is a happy number.

The square root of 52823824 is 7268.

It is a perfect power (a square), and thus also a powerful number.

It is a self number, because there is not a number n which added to its sum of digits gives 52823824.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 668617 + ... + 668695.

Almost surely, 252823824 is an apocalyptic number.

52823824 is the 7268-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52823824

52823824 is an abundant number, since it is smaller than the sum of its proper divisors (55537079).

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

52823824 is an equidigital number, since it uses as much as digits as its factorization.

52823824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 104 counting only the distinct ones).

The product of its digits is 30720, while the sum is 34.

The cubic root of 52823824 is about 375.2119074906.

Subtracting from 52823824 its reverse (42832825), we obtain a palindrome (9990999).

The spelling of 52823824 in words is "fifty-two million, eight hundred twenty-three thousand, eight hundred twenty-four".

Divisors: 1 2 4 8 16 23 46 79 92 158 184 316 368 529 632 1058 1264 1817 2116 3634 4232 6241 7268 8464 12482 14536 24964 29072 41791 49928 83582 99856 143543 167164 287086 334328 574172 668656 1148344 2296688 3301489 6602978 13205956 26411912 52823824