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53012256 = 25311172953
BaseRepresentation
bin1100101000111…
…0011100100000
310200202022010220
43022032130200
5102032343011
65132123040
71212411453
oct312163440
9120668126
1053012256
1127a18990
1215906480
13aca14cb
14707d49a
1549c2506
hex328e720

53012256 has 96 divisors (see below), whose sum is σ = 160792128. Its totient is φ = 15114240.

The previous prime is 53012251. The next prime is 53012257. The reversal of 53012256 is 65221035.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (53012251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16476 + ... + 19428.

It is an arithmetic number, because the mean of its divisors is an integer number (1674918).

Almost surely, 253012256 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 53012256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80396064).

53012256 is an abundant number, since it is smaller than the sum of its proper divisors (107779872).

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

53012256 is a wasteful number, since it uses less digits than its factorization.

53012256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2994 (or 2986 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 53012256 is about 7280.9515861596. The cubic root of 53012256 is about 375.6575273026.

It can be divided in two parts, 5301 and 2256, that added together give a palindrome (7557).

The spelling of 53012256 in words is "fifty-three million, twelve thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 11 12 16 17 22 24 32 33 34 44 48 51 66 68 88 96 102 132 136 176 187 204 264 272 352 374 408 528 544 561 748 816 1056 1122 1496 1632 2244 2953 2992 4488 5906 5984 8859 8976 11812 17718 17952 23624 32483 35436 47248 50201 64966 70872 94496 97449 100402 129932 141744 150603 194898 200804 259864 283488 301206 389796 401608 519728 552211 602412 779592 803216 1039456 1104422 1204824 1559184 1606432 1656633 2208844 2409648 3118368 3313266 4417688 4819296 6626532 8835376 13253064 17670752 26506128 53012256