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53828712 = 2334711867
BaseRepresentation
bin1100110101010…
…1110001101000
310202021210010000
43031111301220
5102240004322
65201423000
71222352010
oct315256150
9122253100
1053828712
1128426343
121603aa60
13b1c9012
147212c40
154ad43ac
hex3355c68

53828712 has 80 divisors (see below), whose sum is σ = 172323360. Its totient is φ = 15378336.

The previous prime is 53828699. The next prime is 53828743. The reversal of 53828712 is 21782835.

53828712 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1398 + ... + 10469.

It is an arithmetic number, because the mean of its divisors is an integer number (2154042).

Almost surely, 253828712 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 53828712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86161680).

53828712 is an abundant number, since it is smaller than the sum of its proper divisors (118494648).

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

53828712 is a wasteful number, since it uses less digits than its factorization.

53828712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11892 (or 11879 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 53828712 is about 7336.8052993111. The cubic root of 53828712 is about 377.5762447052.

The spelling of 53828712 in words is "fifty-three million, eight hundred twenty-eight thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 81 84 108 126 162 168 189 216 252 324 378 504 567 648 756 1134 1512 2268 4536 11867 23734 35601 47468 71202 83069 94936 106803 142404 166138 213606 249207 284808 320409 332276 427212 498414 640818 664552 747621 854424 961227 996828 1281636 1495242 1922454 1993656 2242863 2563272 2990484 3844908 4485726 5980968 6728589 7689816 8971452 13457178 17942904 26914356 53828712