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253004500 = 2253772287
BaseRepresentation
bin11110001010010…
…00101011010100
3122122001221221001
433011020223110
51004232121000
641034433044
76161334310
oct1705105324
9578057831
10253004500
1111a8a6031
1270892784
1340555108
142585cb40
151732946a
hexf148ad4

253004500 has 48 divisors (see below), whose sum is σ = 631507968. Its totient is φ = 86743200.

The previous prime is 253004471. The next prime is 253004503. The reversal of 253004500 is 5400352.

It is a happy number.

It is a super-2 number, since 2×2530045002 = 128022554040500000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253004503) 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 15 ways as a sum of consecutive naturals, for example, 32644 + ... + 39643.

It is an arithmetic number, because the mean of its divisors is an integer number (13156416).

Almost surely, 2253004500 is an apocalyptic number.

253004500 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

253004500 is an abundant number, since it is smaller than the sum of its proper divisors (378503468).

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

253004500 is a wasteful number, since it uses less digits than its factorization.

253004500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72313 (or 72301 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 19.

The square root of 253004500 is about 15906.1151762459. The cubic root of 253004500 is about 632.4741041437.

Adding to 253004500 its reverse (5400352), we get a palindrome (258404852).

The spelling of 253004500 in words is "two hundred fifty-three million, four thousand, five hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 125 140 175 250 350 500 700 875 1750 3500 72287 144574 289148 361435 506009 722870 1012018 1445740 1807175 2024036 2530045 3614350 5060090 7228700 9035875 10120180 12650225 18071750 25300450 36143500 50600900 63251125 126502250 253004500