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258325980 = 223511391403
BaseRepresentation
bin11110110010110…
…11110111011100
3200000002022121220
433121123313130
51012112412410
641344453340
76254506653
oct1731336734
9600068556
10258325980
11122900150
127261a250
1341699313
142644619a
1517a2b070
hexf65bddc

258325980 has 48 divisors (see below), whose sum is σ = 789070464. Its totient is φ = 62624320.

The previous prime is 258325973. The next prime is 258325993. The reversal of 258325980 is 89523852.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 195042 + ... + 196361.

It is an arithmetic number, because the mean of its divisors is an integer number (16438968).

Almost surely, 2258325980 is an apocalyptic number.

258325980 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

258325980 is an abundant number, since it is smaller than the sum of its proper divisors (530744484).

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

258325980 is a wasteful number, since it uses less digits than its factorization.

258325980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391426 (or 391424 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 42.

The square root of 258325980 is about 16072.5225151499. The cubic root of 258325980 is about 636.8776795080.

The spelling of 258325980 in words is "two hundred fifty-eight million, three hundred twenty-five thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 391403 782806 1174209 1565612 1957015 2348418 3914030 4305433 4696836 5871045 7828060 8610866 11742090 12916299 17221732 21527165 23484180 25832598 43054330 51665196 64581495 86108660 129162990 258325980