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423253125 = 3255101149
BaseRepresentation
bin11001001110100…
…101010010000101
31002111102111010200
4121032211102011
51331323100000
6105555441113
713326410061
oct3116452205
91074374120
10423253125
111a7a08379
12b98b6199
13698c3649
14402d8aa1
1527258500
hex193a5485

423253125 has 72 divisors (see below), whose sum is σ = 776903400. Its totient is φ = 222000000.

The previous prime is 423253109. The next prime is 423253133. The reversal of 423253125 is 521352324.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 417875364 + 5377761 = 20442^2 + 2319^2 .

It is not a de Polignac number, because 423253125 - 24 = 423253109 is a prime.

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 71 ways as a sum of consecutive naturals, for example, 2840551 + ... + 2840699.

It is an arithmetic number, because the mean of its divisors is an integer number (10790325).

Almost surely, 2423253125 is an apocalyptic number.

423253125 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

423253125 is a deficient number, since it is larger than the sum of its proper divisors (353650275).

423253125 is a wasteful number, since it uses less digits than its factorization.

423253125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 258 counting only the distinct ones).

The product of its digits is 7200, while the sum is 27.

The square root of 423253125 is about 20573.1165602103. The cubic root of 423253125 is about 750.8157790177.

The spelling of 423253125 in words is "four hundred twenty-three million, two hundred fifty-three thousand, one hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 101 125 149 225 303 375 447 505 625 745 909 1125 1341 1515 1875 2235 2525 3125 3725 4545 5625 6705 7575 9375 11175 12625 15049 18625 22725 28125 33525 37875 45147 55875 63125 75245 93125 113625 135441 167625 189375 225735 279375 315625 376225 465625 568125 677205 838125 946875 1128675 1396875 1881125 2840625 3386025 4190625 5643375 9405625 16930125 28216875 47028125 84650625 141084375 423253125