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258955240 = 2356473881
BaseRepresentation
bin11110110111101…
…01011111101000
3200001021021210211
433123311133220
51012243031430
641410150504
76263040355
oct1733653750
9601237724
10258955240
1112319a9a5
1272882434
134185986b
142656b62c
1517b0272a
hexf6f57e8

258955240 has 16 divisors (see below), whose sum is σ = 582649380. Its totient is φ = 103582080.

The previous prime is 258955231. The next prime is 258955259. The reversal of 258955240 is 42559852.

It can be written as a sum of positive squares in 2 ways, for example, as 250968964 + 7986276 = 15842^2 + 2826^2 .

It is a Harshad number since it is a multiple of its sum of digits (40), and also a Moran number because the ratio is a prime number: 6473881 = 258955240 / (2 + 5 + 8 + 9 + 5 + 5 + 2 + 4 + 0).

It is a junction number, because it is equal to n+sod(n) for n = 258955193 and 258955202.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3236901 + ... + 3236980.

Almost surely, 2258955240 is an apocalyptic number.

258955240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

258955240 is an abundant number, since it is smaller than the sum of its proper divisors (323694140).

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

258955240 is a wasteful number, since it uses less digits than its factorization.

258955240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6473892 (or 6473888 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 40.

The square root of 258955240 is about 16092.0862538081. The cubic root of 258955240 is about 637.3943867077.

The spelling of 258955240 in words is "two hundred fifty-eight million, nine hundred fifty-five thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 40 6473881 12947762 25895524 32369405 51791048 64738810 129477620 258955240