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197392 = 2413273
BaseRepresentation
bin110000001100010000
3101000202211
4300030100
522304032
64121504
71451326
oct601420
9330684
10197392
11125338
1296294
136bb00
1451d16
153d747
hex30310

197392 has 30 divisors (see below), whose sum is σ = 419802. Its totient is φ = 89856.

The previous prime is 197389. The next prime is 197419. The reversal of 197392 is 293791.

It can be written as a sum of positive squares in 3 ways, for example, as 256 + 197136 = 16^2 + 444^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2668 + ... + 2740.

2197392 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 197392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209901).

197392 is an abundant number, since it is smaller than the sum of its proper divisors (222410).

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

197392 is a wasteful number, since it uses less digits than its factorization.

197392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 88 counting only the distinct ones).

The product of its digits is 3402, while the sum is 31.

The square root of 197392 is about 444.2881947565. The cubic root of 197392 is about 58.2250471817.

The spelling of 197392 in words is "one hundred ninety-seven thousand, three hundred ninety-two".

Divisors: 1 2 4 8 13 16 26 52 73 104 146 169 208 292 338 584 676 949 1168 1352 1898 2704 3796 7592 12337 15184 24674 49348 98696 197392