Search a number
-
+
53366208 = 263759673
BaseRepresentation
bin1100101110010…
…0110111000000
310201102021200020
43023210313000
5102130204313
65143453440
71215414420
oct313446700
9121367606
1053366208
112813a905
1215a57280
13b09664c
147132480
154a42323
hex32e4dc0

53366208 has 112 divisors (see below), whose sum is σ = 164348160. Its totient is φ = 14966784.

The previous prime is 53366191. The next prime is 53366219. The reversal of 53366208 is 80266335.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78960 + ... + 79632.

Almost surely, 253366208 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 53366208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82174080).

53366208 is an abundant number, since it is smaller than the sum of its proper divisors (110981952).

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

53366208 is a wasteful number, since it uses less digits than its factorization.

53366208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 754 (or 744 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The square root of 53366208 is about 7305.2178612277. The cubic root of 53366208 is about 376.4917362814.

The spelling of 53366208 in words is "fifty-three million, three hundred sixty-six thousand, two hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 59 64 84 96 112 118 168 177 192 224 236 336 354 413 448 472 672 673 708 826 944 1239 1344 1346 1416 1652 1888 2019 2478 2692 2832 3304 3776 4038 4711 4956 5384 5664 6608 8076 9422 9912 10768 11328 13216 14133 16152 18844 19824 21536 26432 28266 32304 37688 39648 39707 43072 56532 64608 75376 79296 79414 113064 119121 129216 150752 158828 226128 238242 277949 301504 317656 452256 476484 555898 635312 833847 904512 952968 1111796 1270624 1667694 1905936 2223592 2541248 3335388 3811872 4447184 6670776 7623744 8894368 13341552 17788736 26683104 53366208