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53100256 = 2511612473
BaseRepresentation
bin1100101010001…
…1111011100000
310200220202212011
43022203323200
5102043202011
65134042304
71213226146
oct312437340
9120822764
1053100256
1127a79010
1215949394
13b002591
1470a3596
1549dd621
hex32a3ee0

53100256 has 48 divisors (see below), whose sum is σ = 115961328. Its totient is φ = 23731200.

The previous prime is 53100239. The next prime is 53100259. The reversal of 53100256 is 65200135.

It is a happy number.

53100256 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53100259) 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 7 ways as a sum of consecutive naturals, for example, 20236 + ... + 22708.

It is an arithmetic number, because the mean of its divisors is an integer number (2415861).

Almost surely, 253100256 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 53100256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57980664).

53100256 is an abundant number, since it is smaller than the sum of its proper divisors (62861072).

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

53100256 is a wasteful number, since it uses less digits than its factorization.

53100256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2555 (or 2547 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 22.

The square root of 53100256 is about 7286.9922464622. The cubic root of 53100256 is about 375.8652754085.

The spelling of 53100256 in words is "fifty-three million, one hundred thousand, two hundred fifty-six".

Divisors: 1 2 4 8 11 16 22 32 44 61 88 122 176 244 352 488 671 976 1342 1952 2473 2684 4946 5368 9892 10736 19784 21472 27203 39568 54406 79136 108812 150853 217624 301706 435248 603412 870496 1206824 1659383 2413648 3318766 4827296 6637532 13275064 26550128 53100256