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495055000 = 2354119001
BaseRepresentation
bin11101100000011…
…111000010011000
31021111112101210101
4131200133002120
52003213230000
6121042425144
715160620016
oct3540370230
91244471711
10495055000
1123449a170
121199621b4
137b74336b
1449a698b6
152d6dce6a
hex1d81f098

495055000 has 80 divisors (see below), whose sum is σ = 1265501160. Its totient is φ = 180000000.

The previous prime is 495054997. The next prime is 495055003. The reversal of 495055000 is 550594.

It is an interprime number because it is at equal distance from previous prime (495054997) and next prime (495055003).

It is a self number, because there is not a number n which added to its sum of digits gives 495055000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (495055003) by changing a digit.

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, 50500 + ... + 59500.

Almost surely, 2495055000 is an apocalyptic number.

495055000 is a gapful number since it is divisible by the number (40) 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 495055000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (632750580).

495055000 is an abundant number, since it is smaller than the sum of its proper divisors (770446160).

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

495055000 is a wasteful number, since it uses less digits than its factorization.

495055000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9038 (or 9019 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 28.

The square root of 495055000 is about 22249.8314600358. The cubic root of 495055000 is about 791.0752862611.

It can be divided in two parts, 4950 and 55000, that multiplied together give a square (272250000 = 165002).

The spelling of 495055000 in words is "four hundred ninety-five million, fifty-five thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 275 440 500 550 625 1000 1100 1250 1375 2200 2500 2750 5000 5500 6875 9001 11000 13750 18002 27500 36004 45005 55000 72008 90010 99011 180020 198022 225025 360040 396044 450050 495055 792088 900100 990110 1125125 1800200 1980220 2250250 2475275 3960440 4500500 4950550 5625625 9001000 9901100 11251250 12376375 19802200 22502500 24752750 45005000 49505500 61881875 99011000 123763750 247527500 495055000