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53881056 = 2532613067
BaseRepresentation
bin1100110110001…
…0100011100000
310202101102220200
43031202203200
5102243143211
65202505200
71222660425
oct315424340
9122342820
1053881056
11284616a9
1216065200
13b216aa8
147227d4c
154ae4b56
hex33628e0

53881056 has 72 divisors (see below), whose sum is σ = 155786904. Its totient is φ = 17660160.

The previous prime is 53881013. The next prime is 53881067. The reversal of 53881056 is 65018835.

It is a tau number, because it is divible by the number of its divisors (72).

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 53881056.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 16035 + ... + 19101.

It is an arithmetic number, because the mean of its divisors is an integer number (2163707).

Almost surely, 253881056 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 53881056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77893452).

53881056 is an abundant number, since it is smaller than the sum of its proper divisors (101905848).

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

53881056 is a wasteful number, since it uses less digits than its factorization.

53881056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3144 (or 3133 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 53881056 is about 7340.3716527162. The cubic root of 53881056 is about 377.6985923485.

The spelling of 53881056 in words is "fifty-three million, eight hundred eighty-one thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 61 72 96 122 144 183 244 288 366 488 549 732 976 1098 1464 1952 2196 2928 3067 4392 5856 6134 8784 9201 12268 17568 18402 24536 27603 36804 49072 55206 73608 98144 110412 147216 187087 220824 294432 374174 441648 561261 748348 883296 1122522 1496696 1683783 2245044 2993392 3367566 4490088 5986784 6735132 8980176 13470264 17960352 26940528 53881056