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420050025 = 325217193569
BaseRepresentation
bin11001000010010…
…111010001101001
31002021101202022100
4121002113101221
51330013100100
6105403044013
713260236433
oct3102272151
91067352270
10420050025
111a611a88a
12b8810609
1369041715
143db03653
1526d24400
hex19097469

420050025 has 72 divisors (see below), whose sum is σ = 802147320. Its totient is φ = 209387520.

The previous prime is 420050003. The next prime is 420050047. The reversal of 420050025 is 520050024.

It is an interprime number because it is at equal distance from previous prime (420050003) and next prime (420050047).

It can be written as a sum of positive squares in 12 ways, for example, as 176783616 + 243266409 = 13296^2 + 15597^2 .

It is not a de Polignac number, because 420050025 - 213 = 420041833 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, 737941 + ... + 738509.

It is an arithmetic number, because the mean of its divisors is an integer number (11140935).

Almost surely, 2420050025 is an apocalyptic number.

420050025 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

420050025 is a deficient number, since it is larger than the sum of its proper divisors (382097295).

420050025 is a wasteful number, since it uses less digits than its factorization.

420050025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 795 (or 787 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

The square root of 420050025 is about 20495.1219806080. The cubic root of 420050025 is about 748.9169701479.

Subtracting 420050025 from its reverse (520050024), we obtain a palindrome (99999999).

The spelling of 420050025 in words is "four hundred twenty million, fifty thousand, twenty-five".

Divisors: 1 3 5 9 15 17 25 45 51 75 85 153 193 225 255 425 569 579 765 965 1275 1707 1737 2845 2895 3281 3825 4825 5121 8535 8685 9673 9843 14225 14475 16405 25605 29019 29529 42675 43425 48365 49215 82025 87057 109817 128025 145095 147645 241825 246075 329451 435285 549085 725475 738225 988353 1647255 1866889 2176425 2745425 4941765 5600667 8236275 9334445 16802001 24708825 28003335 46672225 84010005 140016675 420050025