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268192 = 2517229
BaseRepresentation
bin1000001011110100000
3111121220001
41001132200
532040232
65425344
72164621
oct1013640
9447801
10268192
11173551
1210b254
13950c2
146da48
15546e7
hex417a0

268192 has 36 divisors (see below), whose sum is σ = 580230. Its totient is φ = 121856.

The previous prime is 268189. The next prime is 268199. The reversal of 268192 is 291862.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 266256 + 1936 = 516^2 + 44^2 .

Its product of digits (1728) is a multiple of the sum of its prime divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 268192.

It is not an unprimeable number, because it can be changed into a prime (268199) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 9234 + ... + 9262.

2268192 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 268192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290115).

268192 is an abundant number, since it is smaller than the sum of its proper divisors (312038).

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

268192 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (268191) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (73).

268192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 48 counting only the distinct ones).

The product of its digits is 1728, while the sum is 28.

The square root of 268192 is about 517.8725711987. The cubic root of 268192 is about 64.4884501483.

The spelling of 268192 in words is "two hundred sixty-eight thousand, one hundred ninety-two".

Divisors: 1 2 4 8 16 17 29 32 34 58 68 116 136 232 272 289 464 493 544 578 928 986 1156 1972 2312 3944 4624 7888 8381 9248 15776 16762 33524 67048 134096 268192