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5289948 = 223429563
BaseRepresentation
bin10100001011011111011100
3100221202110000
4110023133130
52323234243
6305214300
762651406
oct24133734
910852400
105289948
112a93464
121931390
131132a61
149b9b76
156e75d3
hex50b7dc

5289948 has 60 divisors (see below), whose sum is σ = 14331240. Its totient is φ = 1699488.

The previous prime is 5289929. The next prime is 5289959. The reversal of 5289948 is 8499825.

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 9115 + ... + 9677.

It is an arithmetic number, because the mean of its divisors is an integer number (238854).

Almost surely, 25289948 is an apocalyptic number.

5289948 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5289948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7165620).

5289948 is an abundant number, since it is smaller than the sum of its proper divisors (9041292).

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

5289948 is a wasteful number, since it uses less digits than its factorization.

5289948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 608 (or 597 counting only the distinct ones).

The product of its digits is 207360, while the sum is 45.

The square root of 5289948 is about 2299.9886956244. The cubic root of 5289948 is about 174.2410452320.

It can be divided in two parts, 52 and 89948, that added together give a square (90000 = 3002).

The spelling of 5289948 in words is "five million, two hundred eighty-nine thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 54 58 81 87 108 116 162 174 261 324 348 522 563 783 1044 1126 1566 1689 2252 2349 3132 3378 4698 5067 6756 9396 10134 15201 16327 20268 30402 32654 45603 48981 60804 65308 91206 97962 146943 182412 195924 293886 440829 587772 881658 1322487 1763316 2644974 5289948