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53889264 = 243211132617
BaseRepresentation
bin1100110110010…
…0100011110000
310202101212011200
43031210203300
5102243424024
65203011200
71223023362
oct315444360
9122355150
1053889264
1128467890
1216069b00
13b21a750
14722ad32
154ae72c9
hex33648f0

53889264 has 120 divisors (see below), whose sum is σ = 177249072. Its totient is φ = 15068160.

The previous prime is 53889259. The next prime is 53889281. The reversal of 53889264 is 46298835.

53889264 is a `hidden beast` number, since 5 + 388 + 9 + 264 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19284 + ... + 21900.

Almost surely, 253889264 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 53889264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88624536).

53889264 is an abundant number, since it is smaller than the sum of its proper divisors (123359808).

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

53889264 is a wasteful number, since it uses less digits than its factorization.

53889264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2655 (or 2646 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 53889264 is about 7340.9307311812. The cubic root of 53889264 is about 377.7177703483.

The spelling of 53889264 in words is "fifty-three million, eight hundred eighty-nine thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 13 16 18 22 24 26 33 36 39 44 48 52 66 72 78 88 99 104 117 132 143 144 156 176 198 208 234 264 286 312 396 429 468 528 572 624 792 858 936 1144 1287 1584 1716 1872 2288 2574 2617 3432 5148 5234 6864 7851 10296 10468 15702 20592 20936 23553 28787 31404 34021 41872 47106 57574 62808 68042 86361 94212 102063 115148 125616 136084 172722 188424 204126 230296 259083 272168 306189 345444 374231 376848 408252 460592 518166 544336 612378 690888 748462 816504 1036332 1122693 1224756 1381776 1496924 1633008 2072664 2245386 2449512 2993848 3368079 4145328 4490772 4899024 5987696 6736158 8981544 13472316 17963088 26944632 53889264