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258288084 = 223225727917
BaseRepresentation
bin11110110010100…
…10100111010100
3200000000101122100
433121102213110
51012110204314
641344002100
76254261325
oct1731224724
9600011570
10258288084
1112288472a
1272600330
1341684cb2
142643644c
1517a1ec09
hexf6529d4

258288084 has 36 divisors (see below), whose sum is σ = 655458804. Its totient is φ = 85757952.

The previous prime is 258288059. The next prime is 258288097. The reversal of 258288084 is 480882852.

It can be written as a sum of positive squares in 2 ways, for example, as 250335684 + 7952400 = 15822^2 + 2820^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4707 + ... + 23210.

It is an arithmetic number, because the mean of its divisors is an integer number (18207189).

Almost surely, 2258288084 is an apocalyptic number.

It is an amenable number.

258288084 is an abundant number, since it is smaller than the sum of its proper divisors (397170720).

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

258288084 is a wasteful number, since it uses less digits than its factorization.

258288084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28184 (or 28179 counting only the distinct ones).

The product of its (nonzero) digits is 327680, while the sum is 45.

The square root of 258288084 is about 16071.3435654895. The cubic root of 258288084 is about 636.8465350127.

The spelling of 258288084 in words is "two hundred fifty-eight million, two hundred eighty-eight thousand, eighty-four".

Divisors: 1 2 3 4 6 9 12 18 36 257 514 771 1028 1542 2313 3084 4626 9252 27917 55834 83751 111668 167502 251253 335004 502506 1005012 7174669 14349338 21524007 28698676 43048014 64572021 86096028 129144042 258288084