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53204112 = 24321397293
BaseRepresentation
bin1100101011110…
…1010010010000
310201010001022200
43022331102100
5102110012422
65140203200
71214141013
oct312752220
9121101280
1053204112
112803a045
1215999500
13b03a930
1470cd37a
154a0e2ac
hex32bd490

53204112 has 120 divisors (see below), whose sum is σ = 162557304. Its totient is φ = 16146432.

The previous prime is 53204093. The next prime is 53204119. The reversal of 53204112 is 21140235.

It can be written as a sum of positive squares in 4 ways, for example, as 9960336 + 43243776 = 3156^2 + 6576^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53204119) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 181438 + ... + 181730.

Almost surely, 253204112 is an apocalyptic number.

53204112 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53204112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81278652).

53204112 is an abundant number, since it is smaller than the sum of its proper divisors (109353192).

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

53204112 is a wasteful number, since it uses less digits than its factorization.

53204112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 53204112 is about 7294.1148880450. The cubic root of 53204112 is about 376.1101608710.

Adding to 53204112 its reverse (21140235), we get a palindrome (74344347).

The spelling of 53204112 in words is "fifty-three million, two hundred four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 97 104 117 144 156 194 208 234 291 293 312 388 468 582 586 624 776 873 879 936 1164 1172 1261 1552 1746 1758 1872 2328 2344 2522 2637 3492 3516 3783 3809 4656 4688 5044 5274 6984 7032 7566 7618 10088 10548 11349 11427 13968 14064 15132 15236 20176 21096 22698 22854 28421 30264 30472 34281 42192 45396 45708 56842 60528 60944 68562 85263 90792 91416 113684 137124 170526 181584 182832 227368 255789 274248 341052 369473 454736 511578 548496 682104 738946 1023156 1108419 1364208 1477892 2046312 2216838 2955784 3325257 4092624 4433676 5911568 6650514 8867352 13301028 17734704 26602056 53204112