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268124192 = 2572295227
BaseRepresentation
bin11111111101101…
…00000000100000
3200200112010020122
433332310000200
51022114433232
642334455412
76434006120
oct1776640040
9620463218
10268124192
11128392746
1275964568
134371a08b
1427876c80
1518814312
hexffb4020

268124192 has 48 divisors (see below), whose sum is σ = 606029760. Its totient is φ = 114386688.

The previous prime is 268124173. The next prime is 268124201. The reversal of 268124192 is 291421862.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48683 + ... + 53909.

It is an arithmetic number, because the mean of its divisors is an integer number (12625620).

Almost surely, 2268124192 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 268124192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303014880).

268124192 is an abundant number, since it is smaller than the sum of its proper divisors (337905568).

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

268124192 is a wasteful number, since it uses less digits than its factorization.

268124192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5473 (or 5465 counting only the distinct ones).

The product of its digits is 13824, while the sum is 35.

The square root of 268124192 is about 16374.4982213196. The cubic root of 268124192 is about 644.8301473712.

It can be divided in two parts, 26 and 8124192, that added together give a palindrome (8124218).

The spelling of 268124192 in words is "two hundred sixty-eight million, one hundred twenty-four thousand, one hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 229 458 916 1603 1832 3206 3664 5227 6412 7328 10454 12824 20908 25648 36589 41816 51296 73178 83632 146356 167264 292712 585424 1170848 1196983 2393966 4787932 8378881 9575864 16757762 19151728 33515524 38303456 67031048 134062096 268124192