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53516288 = 21173733
BaseRepresentation
bin1100110000100…
…1100000000000
310201200220112202
43030021200000
5102200010123
65151012332
71216611110
oct314114000
9121626482
1053516288
1128232641
1215b0a0a8
13b119a57
147171040
154a71a28
hex3309800

53516288 has 48 divisors (see below), whose sum is σ = 122325840. Its totient is φ = 22929408.

The previous prime is 53516279. The next prime is 53516291. The reversal of 53516288 is 88261535.

It is a congruent number.

It is an unprimeable number.

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, 12470 + ... + 16202.

It is an arithmetic number, because the mean of its divisors is an integer number (2548455).

Almost surely, 253516288 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 53516288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61162920).

53516288 is an abundant number, since it is smaller than the sum of its proper divisors (68809552).

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

53516288 is an equidigital number, since it uses as much as digits as its factorization.

53516288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3762 (or 3742 counting only the distinct ones).

The product of its digits is 57600, while the sum is 38.

The square root of 53516288 is about 7315.4827591896. The cubic root of 53516288 is about 376.8443376528.

The spelling of 53516288 in words is "fifty-three million, five hundred sixteen thousand, two hundred eighty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 512 896 1024 1792 2048 3584 3733 7168 7466 14336 14932 26131 29864 52262 59728 104524 119456 209048 238912 418096 477824 836192 955648 1672384 1911296 3344768 3822592 6689536 7645184 13379072 26758144 53516288