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642250260 = 223253568057
BaseRepresentation
bin100110010001111…
…111011000010100
31122202111200201200
4212101333120110
52303404002020
6143421352500
721626015511
oct4621773024
91582450650
10642250260
112aa596143
1215b108730
13a309c752
1461424308
153b5b6590
hex2647f614

642250260 has 36 divisors (see below), whose sum is σ = 1948159668. Its totient is φ = 171266688.

The previous prime is 642250249. The next prime is 642250283. The reversal of 642250260 is 62052246.

642250260 is digitally balanced in base 2 and base 6, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 358799364 + 283450896 = 18942^2 + 16836^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1783849 + ... + 1784208.

Almost surely, 2642250260 is an apocalyptic number.

642250260 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

642250260 is an abundant number, since it is smaller than the sum of its proper divisors (1305909408).

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

642250260 is a wasteful number, since it uses less digits than its factorization.

642250260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3568072 (or 3568067 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 642250260 is about 25342.6569246399. The cubic root of 642250260 is about 862.7827025393.

The spelling of 642250260 in words is "six hundred forty-two million, two hundred fifty thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 3568057 7136114 10704171 14272228 17840285 21408342 32112513 35680570 42816684 53520855 64225026 71361140 107041710 128450052 160562565 214083420 321125130 642250260