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53388288 = 210331931
BaseRepresentation
bin1100101110101…
…0010000000000
310201110101222000
43023222100000
5102131411123
65144144000
71215535662
oct313522000
9121411860
1053388288
1128155458
1215a68000
13b0a3705
14713a532
154a48b43
hex32ea400

53388288 has 88 divisors (see below), whose sum is σ = 158192160. Its totient is φ = 17786880.

The previous prime is 53388281. The next prime is 53388289. The reversal of 53388288 is 88288335.

It is not an unprimeable number, because it can be changed into a prime (53388281) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26683 + ... + 28613.

Almost surely, 253388288 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 53388288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79096080).

53388288 is an abundant number, since it is smaller than the sum of its proper divisors (104803872).

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

53388288 is a wasteful number, since it uses less digits than its factorization.

53388288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1960 (or 1936 counting only the distinct ones).

The product of its digits is 368640, while the sum is 45.

The square root of 53388288 is about 7306.7289535058. The cubic root of 53388288 is about 376.5436529757.

The spelling of 53388288 in words is "fifty-three million, three hundred eighty-eight thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 1024 1152 1536 1728 1931 2304 3072 3456 3862 4608 5793 6912 7724 9216 11586 13824 15448 17379 23172 27648 30896 34758 46344 52137 61792 69516 92688 104274 123584 139032 185376 208548 247168 278064 370752 417096 494336 556128 741504 834192 988672 1112256 1483008 1668384 1977344 2224512 2966016 3336768 4449024 5932032 6673536 8898048 13347072 17796096 26694144 53388288