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53062048 = 2513229557
BaseRepresentation
bin1100101001101…
…0100110100000
310200211211110001
43022122212200
5102040441143
65133145344
71213006564
oct312324640
9120754401
1053062048
1127a52336
121592b254
13acbb080
1470936a4
1549d214d
hex329a9a0

53062048 has 48 divisors (see below), whose sum is σ = 113195880. Its totient is φ = 24339456.

The previous prime is 53062039. The next prime is 53062099. The reversal of 53062048 is 84026035.

It can be written as a sum of positive squares in 4 ways, for example, as 37601424 + 15460624 = 6132^2 + 3932^2 .

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 7 ways as a sum of consecutive naturals, for example, 94986 + ... + 95542.

Almost surely, 253062048 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 53062048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56597940).

53062048 is an abundant number, since it is smaller than the sum of its proper divisors (60133832).

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

53062048 is a wasteful number, since it uses less digits than its factorization.

53062048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 809 (or 801 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 53062048 is about 7284.3701169010. The cubic root of 53062048 is about 375.7751031734.

The spelling of 53062048 in words is "fifty-three million, sixty-two thousand, forty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 229 416 458 557 916 1114 1832 2228 2977 3664 4456 5954 7241 7328 8912 11908 14482 17824 23816 28964 47632 57928 95264 115856 127553 231712 255106 510212 1020424 1658189 2040848 3316378 4081696 6632756 13265512 26531024 53062048