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475825040 = 24529205097
BaseRepresentation
bin11100010111001…
…000001110010000
31020011100102020122
4130113020032100
51433302400130
6115114325412
714535306005
oct3427101620
91204312218
10475825040
11224655439
12113429868
137776c5a2
14472a18ac
152bb902e5
hex1c5c8390

475825040 has 40 divisors (see below), whose sum is σ = 1144446840. Its totient is φ = 183766016.

The previous prime is 475825001. The next prime is 475825067. The reversal of 475825040 is 40528574.

It can be written as a sum of positive squares in 4 ways, for example, as 47169424 + 428655616 = 6868^2 + 20704^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 100229 + ... + 104868.

It is an arithmetic number, because the mean of its divisors is an integer number (28611171).

Almost surely, 2475825040 is an apocalyptic number.

475825040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

475825040 is an abundant number, since it is smaller than the sum of its proper divisors (668621800).

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

475825040 is a wasteful number, since it uses less digits than its factorization.

475825040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205139 (or 205133 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 35.

The square root of 475825040 is about 21813.4142215289. The cubic root of 475825040 is about 780.6968569664.

The spelling of 475825040 in words is "four hundred seventy-five million, eight hundred twenty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 116 145 232 290 464 580 1160 2320 205097 410194 820388 1025485 1640776 2050970 3281552 4101940 5947813 8203880 11895626 16407760 23791252 29739065 47582504 59478130 95165008 118956260 237912520 475825040