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258016 = 2511733
BaseRepresentation
bin111110111111100000
3111002221011
4332333200
531224031
65310304
72123143
oct767740
9432834
10258016
11166940
12105394
1390595
146a05a
15516b1
hex3efe0

258016 has 24 divisors (see below), whose sum is σ = 554904. Its totient is φ = 117120.

The previous prime is 257993. The next prime is 258019. The reversal of 258016 is 610852.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258019) by changing a digit.

258016 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 15 + ... + 718.

It is an arithmetic number, because the mean of its divisors is an integer number (23121).

2258016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 258016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277452).

258016 is an abundant number, since it is smaller than the sum of its proper divisors (296888).

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

258016 is a wasteful number, since it uses less digits than its factorization.

258016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 754 (or 746 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

The square root of 258016 is about 507.9527537085. The cubic root of 258016 is about 63.6622835660.

Adding to 258016 its reverse (610852), we get a palindrome (868868).

Subtracting 258016 from its reverse (610852), we obtain a square (352836 = 5942).

The spelling of 258016 in words is "two hundred fifty-eight thousand, sixteen".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 352 733 1466 2932 5864 8063 11728 16126 23456 32252 64504 129008 258016