Search a number
-
+
53017848 = 23331379239
BaseRepresentation
bin1100101000111…
…1110011111000
310200202120211000
43022033303320
5102033032343
65132205000
71212433662
oct312176370
9120676730
1053017848
1127a22104
1215909760
13aca3c10
147081532
1549c3ed3
hex328fcf8

53017848 has 128 divisors (see below), whose sum is σ = 161280000. Its totient is φ = 16039296.

The previous prime is 53017841. The next prime is 53017871. The reversal of 53017848 is 84871035.

It is a super-2 number, since 2×530178482 = 5621784413102208, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53017841) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 221713 + ... + 221951.

It is an arithmetic number, because the mean of its divisors is an integer number (1260000).

Almost surely, 253017848 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 53017848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80640000).

53017848 is an abundant number, since it is smaller than the sum of its proper divisors (108262152).

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

53017848 is a wasteful number, since it uses less digits than its factorization.

53017848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 336 counting only the distinct ones).

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

The square root of 53017848 is about 7281.3355917716. The cubic root of 53017848 is about 375.6707355881.

The spelling of 53017848 in words is "fifty-three million, seventeen thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 79 104 108 117 156 158 216 234 237 239 312 316 351 468 474 478 632 702 711 717 936 948 956 1027 1404 1422 1434 1896 1912 2054 2133 2151 2808 2844 2868 3081 3107 4108 4266 4302 5688 5736 6162 6214 6453 8216 8532 8604 9243 9321 12324 12428 12906 17064 17208 18486 18642 18881 24648 24856 25812 27729 27963 36972 37284 37762 51624 55458 55926 56643 73944 74568 75524 83889 110916 111852 113286 151048 167778 169929 221832 223704 226572 245453 335556 339858 453144 490906 509787 671112 679716 736359 981812 1019574 1359432 1472718 1963624 2039148 2209077 2945436 4078296 4418154 5890872 6627231 8836308 13254462 17672616 26508924 53017848