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57503056 = 2413299533
BaseRepresentation
bin1101101101011…
…0110101010000
311000012110100211
43123112311100
5104210044211
65412253504
71265524252
oct333266520
9130173324
1057503056
112a505996
1217311294
13bbb45a0
1478cbcd2
1550ace21
hex36d6d50

57503056 has 40 divisors (see below), whose sum is σ = 124132680. Its totient is φ = 25622016.

The previous prime is 57503051. The next prime is 57503057. The reversal of 57503056 is 65030575.

It can be written as a sum of positive squares in 4 ways, for example, as 46656 + 57456400 = 216^2 + 7580^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57503051) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1266 + ... + 10798.

It is an arithmetic number, because the mean of its divisors is an integer number (3103317).

Almost surely, 257503056 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 57503056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62066340).

57503056 is an abundant number, since it is smaller than the sum of its proper divisors (66629624).

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

57503056 is a wasteful number, since it uses less digits than its factorization.

57503056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9583 (or 9577 counting only the distinct ones).

The product of its (nonzero) digits is 15750, while the sum is 31.

The square root of 57503056 is about 7583.0769480469. The cubic root of 57503056 is about 385.9789692069.

The spelling of 57503056 in words is "fifty-seven million, five hundred three thousand, fifty-six".

Divisors: 1 2 4 8 13 16 26 29 52 58 104 116 208 232 377 464 754 1508 3016 6032 9533 19066 38132 76264 123929 152528 247858 276457 495716 552914 991432 1105828 1982864 2211656 3593941 4423312 7187882 14375764 28751528 57503056