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52048288 = 2517241397
BaseRepresentation
bin1100011010001…
…1000110100000
310121221022211101
43012203012200
5101311021123
65055324144
71201255165
oct306430640
9117838741
1052048288
112741a716
1215520654
13aa24806
146cac06c
154881aad
hex31a31a0

52048288 has 48 divisors (see below), whose sum is σ = 109222344. Its totient is φ = 24330240.

The previous prime is 52048267. The next prime is 52048289. The reversal of 52048288 is 88284025.

It can be written as a sum of positive squares in 4 ways, for example, as 52012944 + 35344 = 7212^2 + 188^2 .

It is not an unprimeable number, because it can be changed into a prime (52048289) 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, 130906 + ... + 131302.

Almost surely, 252048288 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 52048288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54611172).

52048288 is an abundant number, since it is smaller than the sum of its proper divisors (57174056).

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

52048288 is a wasteful number, since it uses less digits than its factorization.

52048288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 665 (or 657 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 37.

The square root of 52048288 is about 7214.4499443825. The cubic root of 52048288 is about 373.3666155136.

The spelling of 52048288 in words is "fifty-two million, forty-eight thousand, two hundred eighty-eight".

Divisors: 1 2 4 8 16 17 32 34 68 136 241 272 397 482 544 794 964 1588 1928 3176 3856 4097 6352 6749 7712 8194 12704 13498 16388 26996 32776 53992 65552 95677 107984 131104 191354 215968 382708 765416 1530832 1626509 3061664 3253018 6506036 13012072 26024144 52048288