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258032208 = 24372932621
BaseRepresentation
bin11110110000101…
…00001001010000
3122222112101122110
433120110021100
51012024012313
641334305320
76252144330
oct1730241120
9588471573
10258032208
1112271a465
12724b8240
13415c56a5
14263ab0c0
15179bdec3
hexf614250

258032208 has 80 divisors (see below), whose sum is σ = 764701056. Its totient is φ = 73443840.

The previous prime is 258032197. The next prime is 258032213. The reversal of 258032208 is 802230852.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 97138 + ... + 99758.

Almost surely, 2258032208 is an apocalyptic number.

258032208 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 258032208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382350528).

258032208 is an abundant number, since it is smaller than the sum of its proper divisors (506668848).

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

258032208 is a wasteful number, since it uses less digits than its factorization.

258032208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2932 (or 2926 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 258032208 is about 16063.3809641682. The cubic root of 258032208 is about 636.6361657979.

The spelling of 258032208 in words is "two hundred fifty-eight million, thirty-two thousand, two hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 293 336 586 879 1172 1758 2051 2344 2621 3516 4102 4688 5242 6153 7032 7863 8204 10484 12306 14064 15726 16408 18347 20968 24612 31452 32816 36694 41936 49224 55041 62904 73388 98448 110082 125808 146776 220164 293552 440328 767953 880656 1535906 2303859 3071812 4607718 5375671 6143624 9215436 10751342 12287248 16127013 18430872 21502684 32254026 36861744 43005368 64508052 86010736 129016104 258032208