Search a number
-
+
53796288 = 2637133079
BaseRepresentation
bin1100110100110…
…1110111000000
310202020010122010
43031031313000
5102232440123
65201012520
71222155330
oct315156700
9122203563
1053796288
1128403a47
1216024140
13b1b7330
1472050c0
154ac9993
hex334ddc0

53796288 has 112 divisors (see below), whose sum is σ = 175239680. Its totient is φ = 14183424.

The previous prime is 53796257. The next prime is 53796289. The reversal of 53796288 is 88269735.

53796288 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53796289) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 15933 + ... + 19011.

It is an arithmetic number, because the mean of its divisors is an integer number (1564640).

Almost surely, 253796288 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 53796288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87619840).

53796288 is an abundant number, since it is smaller than the sum of its proper divisors (121443392).

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

53796288 is a wasteful number, since it uses less digits than its factorization.

53796288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3114 (or 3104 counting only the distinct ones).

The product of its digits is 725760, while the sum is 48.

The square root of 53796288 is about 7334.5952853583. The cubic root of 53796288 is about 377.5004178175.

The spelling of 53796288 in words is "fifty-three million, seven hundred ninety-six thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 64 78 84 91 96 104 112 156 168 182 192 208 224 273 312 336 364 416 448 546 624 672 728 832 1092 1248 1344 1456 2184 2496 2912 3079 4368 5824 6158 8736 9237 12316 17472 18474 21553 24632 36948 40027 43106 49264 64659 73896 80054 86212 98528 120081 129318 147792 160108 172424 197056 240162 258636 280189 295584 320216 344848 480324 517272 560378 591168 640432 689696 840567 960648 1034544 1120756 1280864 1379392 1681134 1921296 2069088 2241512 2561728 3362268 3842592 4138176 4483024 6724536 7685184 8966048 13449072 17932096 26898144 53796288