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5288020 = 22517103151
BaseRepresentation
bin10100001011000001010100
3100221122210121
4110023001110
52323204040
6305201324
762642653
oct24130124
910848717
105288020
112a91a71
121930244
131131c0a
149b919a
156e6c4a
hex50b054

5288020 has 48 divisors (see below), whose sum is σ = 11950848. Its totient is φ = 1958400.

The previous prime is 5287991. The next prime is 5288033. The reversal of 5288020 is 208825.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34945 + ... + 35095.

It is an arithmetic number, because the mean of its divisors is an integer number (248976).

Almost surely, 25288020 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 5288020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5975424).

5288020 is an abundant number, since it is smaller than the sum of its proper divisors (6662828).

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

5288020 is a wasteful number, since it uses less digits than its factorization.

5288020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 25.

The square root of 5288020 is about 2299.5695249329. The cubic root of 5288020 is about 174.2198744154.

It can be divided in two parts, 52880 and 20, that added together give a square (52900 = 2302).

The spelling of 5288020 in words is "five million, two hundred eighty-eight thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 103 151 170 206 302 340 412 515 604 755 1030 1510 1751 2060 2567 3020 3502 5134 7004 8755 10268 12835 15553 17510 25670 31106 35020 51340 62212 77765 155530 264401 311060 528802 1057604 1322005 2644010 5288020