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53684208 = 2434231801
BaseRepresentation
bin1100110011001…
…0011111110000
310202000102220000
43030302133300
5102220343313
65154350000
71221210504
oct314623760
9122012800
1053684208
1128337816
1215b8b300
13b178306
1471b6304
154aa6673
hex33327f0

53684208 has 100 divisors (see below), whose sum is σ = 162223248. Its totient is φ = 17107200.

The previous prime is 53684201. The next prime is 53684243. The reversal of 53684208 is 80248635.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53684201) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 28908 + ... + 30708.

Almost surely, 253684208 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 53684208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81111624).

53684208 is an abundant number, since it is smaller than the sum of its proper divisors (108539040).

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

53684208 is a wasteful number, since it uses less digits than its factorization.

53684208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1844 (or 1829 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 53684208 is about 7326.9507982516. The cubic root of 53684208 is about 377.2380721816.

The spelling of 53684208 in words is "fifty-three million, six hundred eighty-four thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 36 46 48 54 69 72 81 92 108 138 144 162 184 207 216 276 324 368 414 432 552 621 648 828 1104 1242 1296 1656 1801 1863 2484 3312 3602 3726 4968 5403 7204 7452 9936 10806 14408 14904 16209 21612 28816 29808 32418 41423 43224 48627 64836 82846 86448 97254 124269 129672 145881 165692 194508 248538 259344 291762 331384 372807 389016 497076 583524 662768 745614 778032 994152 1118421 1167048 1491228 1988304 2236842 2334096 2982456 3355263 4473684 5964912 6710526 8947368 13421052 17894736 26842104 53684208