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258364032 = 273672823
BaseRepresentation
bin11110110011001…
…01001010000000
3200000011020211020
433121211022000
51012120122112
641345345440
76255025623
oct1731451200
9600136736
10258364032
111229267a3
1272638280
13416b0734
1426455dba
1517a3748c
hexf665280

258364032 has 32 divisors (see below), whose sum is σ = 686280480. Its totient is φ = 86121216.

The previous prime is 258364031. The next prime is 258364039. The reversal of 258364032 is 230463852.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 258363984 and 258364002.

It is not an unprimeable number, because it can be changed into a prime (258364031) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 336028 + ... + 336795.

It is an arithmetic number, because the mean of its divisors is an integer number (21446265).

Almost surely, 2258364032 is an apocalyptic number.

It is an amenable number.

258364032 is an abundant number, since it is smaller than the sum of its proper divisors (427916448).

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

258364032 is an equidigital number, since it uses as much as digits as its factorization.

258364032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 672840 (or 672828 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The square root of 258364032 is about 16073.7062309848. The cubic root of 258364032 is about 636.9089491460.

The spelling of 258364032 in words is "two hundred fifty-eight million, three hundred sixty-four thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 672823 1345646 2018469 2691292 4036938 5382584 8073876 10765168 16147752 21530336 32295504 43060672 64591008 86121344 129182016 258364032