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258416016 = 24340913163
BaseRepresentation
bin11110110011100…
…01110110010000
3200000020220010120
433121301312100
51012123303031
641350430240
76255333315
oct1731616620
9600226116
10258416016
11122961861
1272662380
13416cb2b1
142646ad0c
1517a47a96
hexf671d90

258416016 has 40 divisors (see below), whose sum is σ = 669257760. Its totient is φ = 85921536.

The previous prime is 258416009. The next prime is 258416057. The reversal of 258416016 is 610614852.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13051 + ... + 26213.

It is an arithmetic number, because the mean of its divisors is an integer number (16731444).

Almost surely, 2258416016 is an apocalyptic number.

It is an amenable number.

258416016 is an abundant number, since it is smaller than the sum of its proper divisors (410841744).

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

258416016 is a wasteful number, since it uses less digits than its factorization.

258416016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13583 (or 13577 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 258416016 is about 16075.3232004834. The cubic root of 258416016 is about 636.9516625921.

The spelling of 258416016 in words is "two hundred fifty-eight million, four hundred sixteen thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 48 409 818 1227 1636 2454 3272 4908 6544 9816 13163 19632 26326 39489 52652 78978 105304 157956 210608 315912 631824 5383667 10767334 16151001 21534668 32302002 43069336 64604004 86138672 129208008 258416016