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258091984 = 2416130749
BaseRepresentation
bin11110110001000…
…10101111010000
3122222122102122101
433120202233100
51012032420414
641335450144
76252513523
oct1730425720
9588572571
10258091984
11122760367
1272526954
1341616967
14263c4bba
15179d1a74
hexf622bd0

258091984 has 10 divisors (see below), whose sum is σ = 500053250. Its totient is φ = 129045984.

The previous prime is 258091979. The next prime is 258092017. The reversal of 258091984 is 489190852.

258091984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 172344384 + 85747600 = 13128^2 + 9260^2 .

It is a super-2 number, since 2×2580919842 = 133222944410112512, 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 as a sum of consecutive naturals, namely, 8065359 + ... + 8065390.

It is an arithmetic number, because the mean of its divisors is an integer number (50005325).

Almost surely, 2258091984 is an apocalyptic number.

It is an amenable number.

258091984 is a deficient number, since it is larger than the sum of its proper divisors (241961266).

258091984 is a wasteful number, since it uses less digits than its factorization.

258091984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16130757 (or 16130751 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 46.

The square root of 258091984 is about 16065.2414858912. The cubic root of 258091984 is about 636.6853232596.

The spelling of 258091984 in words is "two hundred fifty-eight million, ninety-one thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 16 16130749 32261498 64522996 129045992 258091984