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258884020 = 22512944201
BaseRepresentation
bin11110110111001…
…00000110110100
3200001010200010001
433123210012310
51012233242040
641404441044
76262322623
oct1733440664
9601120101
10258884020
1112315143a
1272849184
1341833315
142654d6ba
1517adb59a
hexf6e41b4

258884020 has 12 divisors (see below), whose sum is σ = 543656484. Its totient is φ = 103553600.

The previous prime is 258884009. The next prime is 258884077. The reversal of 258884020 is 20488852.

It can be written as a sum of positive squares in 2 ways, for example, as 159921316 + 98962704 = 12646^2 + 9948^2 .

It is a super-2 number, since 2×2588840202 = 134041871622720800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6472081 + ... + 6472120.

It is an arithmetic number, because the mean of its divisors is an integer number (45304707).

Almost surely, 2258884020 is an apocalyptic number.

258884020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

258884020 is an abundant number, since it is smaller than the sum of its proper divisors (284772464).

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

258884020 is a wasteful number, since it uses less digits than its factorization.

258884020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12944210 (or 12944208 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 37.

The square root of 258884020 is about 16089.8732126764. The cubic root of 258884020 is about 637.3359475344.

The spelling of 258884020 in words is "two hundred fifty-eight million, eight hundred eighty-four thousand, twenty".

Divisors: 1 2 4 5 10 20 12944201 25888402 51776804 64721005 129442010 258884020