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490119525 = 33527472207
BaseRepresentation
bin11101001101101…
…010000101100101
31021011020122121000
4131031222011211
52000432311100
6120344543513
715100642620
oct3515520545
91234218530
10490119525
11231729065
12118181b99
137a705a6c
1449142db7
152d065900
hex1d36a165

490119525 has 96 divisors (see below), whose sum is σ = 1051361280. Its totient is φ = 219188160.

The previous prime is 490119523. The next prime is 490119527. The reversal of 490119525 is 525911094.

490119525 is a `hidden beast` number, since 490 + 119 + 52 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (490119523) and next prime (490119527).

It is not a de Polignac number, because 490119525 - 21 = 490119523 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 490119525.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (490119521) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 220972 + ... + 223178.

It is an arithmetic number, because the mean of its divisors is an integer number (10951680).

Almost surely, 2490119525 is an apocalyptic number.

490119525 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

490119525 is an abundant number, since it is smaller than the sum of its proper divisors (561241755).

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

490119525 is a wasteful number, since it uses less digits than its factorization.

490119525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2280 (or 2269 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 36.

The square root of 490119525 is about 22138.6432511118. The cubic root of 490119525 is about 788.4376133743.

The spelling of 490119525 in words is "four hundred ninety million, one hundred nineteen thousand, five hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 27 35 45 47 63 75 105 135 141 175 189 225 235 315 329 423 525 675 705 945 987 1175 1269 1575 1645 2115 2207 2961 3525 4725 4935 6345 6621 8225 8883 10575 11035 14805 15449 19863 24675 31725 33105 44415 46347 55175 59589 74025 77245 99315 103729 139041 165525 222075 231735 297945 311187 386225 417123 496575 518645 695205 726103 933561 1158675 1489725 1555935 2085615 2178309 2593225 2800683 3476025 3630515 4667805 6534927 7779675 10428075 10891545 14003415 18152575 19604781 23339025 32674635 54457725 70017075 98023905 163373175 490119525