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192480256 = 2101711057
BaseRepresentation
bin10110111100100…
…00010000000000
3111102012000021101
423132100100000
5343233332011
631033304144
74525024633
oct1336202000
9442160241
10192480256
11997172a1
1254565054
1330b53657
141b7c5c1a
1511d712c1
hexb790400

192480256 has 44 divisors (see below), whose sum is σ = 407443068. Its totient is φ = 90570752.

The previous prime is 192480227. The next prime is 192480257. The reversal of 192480256 is 652084291.

It can be written as a sum of positive squares in 2 ways, for example, as 92160000 + 100320256 = 9600^2 + 10016^2 .

It is not an unprimeable number, because it can be changed into a prime (192480257) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 11880 + ... + 22936.

Almost surely, 2192480256 is an apocalyptic number.

192480256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 192480256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203721534).

192480256 is an abundant number, since it is smaller than the sum of its proper divisors (214962812).

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

192480256 is a wasteful number, since it uses less digits than its factorization.

192480256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11094 (or 11076 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 37.

The square root of 192480256 is about 13873.7253828955. The cubic root of 192480256 is about 577.3804338837.

The spelling of 192480256 in words is "one hundred ninety-two million, four hundred eighty thousand, two hundred fifty-six".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 256 272 512 544 1024 1088 2176 4352 8704 11057 17408 22114 44228 88456 176912 187969 353824 375938 707648 751876 1415296 1503752 2830592 3007504 5661184 6015008 11322368 12030016 24060032 48120064 96240128 192480256