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258046640 = 24529111227
BaseRepresentation
bin11110110000101…
…11101010110000
3122222120010102222
433120113222300
51012024443030
641334500212
76252234365
oct1730275260
9588503388
10258046640
1112272a295
1272504668
13415cc127
14263b246c
15179c33e5
hexf617ab0

258046640 has 40 divisors (see below), whose sum is σ = 620652240. Its totient is φ = 99658496.

The previous prime is 258046639. The next prime is 258046643. The reversal of 258046640 is 46640852.

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 258046640.

It is not an unprimeable number, because it can be changed into a prime (258046643) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 53294 + ... + 57933.

It is an arithmetic number, because the mean of its divisors is an integer number (15516306).

Almost surely, 2258046640 is an apocalyptic number.

258046640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

258046640 is an abundant number, since it is smaller than the sum of its proper divisors (362605600).

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

258046640 is a wasteful number, since it uses less digits than its factorization.

258046640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111269 (or 111263 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 35.

The square root of 258046640 is about 16063.8301783852. The cubic root of 258046640 is about 636.6480348095.

The spelling of 258046640 in words is "two hundred fifty-eight million, forty-six thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 116 145 232 290 464 580 1160 2320 111227 222454 444908 556135 889816 1112270 1779632 2224540 3225583 4449080 6451166 8898160 12902332 16127915 25804664 32255830 51609328 64511660 129023320 258046640