Search a number
-
+
53827056 = 2432438693
BaseRepresentation
bin1100110101010…
…1010111110000
310202021200211200
43031111113300
5102234431211
65201411200
71222344123
oct315252760
9122250750
1053827056
1128425078
1216039b00
13b1c833a
1472123ba
154ad3b56
hex33555f0

53827056 has 60 divisors (see below), whose sum is σ = 154162008. Its totient is φ = 17523072.

The previous prime is 53827051. The next prime is 53827069. The reversal of 53827056 is 65072835.

53827056 is a `hidden beast` number, since 538 + 2 + 70 + 56 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 53827056.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53827051) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1846 + ... + 10538.

Almost surely, 253827056 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 53827056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77081004).

53827056 is an abundant number, since it is smaller than the sum of its proper divisors (100334952).

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

53827056 is a wasteful number, since it uses less digits than its factorization.

53827056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8750 (or 8741 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 53827056 is about 7336.6924427837. The cubic root of 53827056 is about 377.5723727154.

The spelling of 53827056 in words is "fifty-three million, eight hundred twenty-seven thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 43 48 72 86 129 144 172 258 344 387 516 688 774 1032 1548 2064 3096 6192 8693 17386 26079 34772 52158 69544 78237 104316 139088 156474 208632 312948 373799 417264 625896 747598 1121397 1251792 1495196 2242794 2990392 3364191 4485588 5980784 6728382 8971176 13456764 17942352 26913528 53827056