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196009296 = 24371793259
BaseRepresentation
bin10111010111011…
…01110101010000
3111122211022012120
423223231311100
5400134244141
631241054240
74600023450
oct1353556520
9448738176
10196009296
11a070775a
1255787380
13317baa42
141c063d60
151231bc66
hexbaedd50

196009296 has 80 divisors (see below), whose sum is σ = 582105600. Its totient is φ = 55672704.

The previous prime is 196009291. The next prime is 196009327. The reversal of 196009296 is 692900691.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (196009291) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58515 + ... + 61773.

It is an arithmetic number, because the mean of its divisors is an integer number (7276320).

Almost surely, 2196009296 is an apocalyptic number.

196009296 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 196009296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291052800).

196009296 is an abundant number, since it is smaller than the sum of its proper divisors (386096304).

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

196009296 is a wasteful number, since it uses less digits than its factorization.

196009296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3456 (or 3450 counting only the distinct ones).

The product of its (nonzero) digits is 52488, while the sum is 42.

The square root of 196009296 is about 14000.3319960635. The cubic root of 196009296 is about 580.8877566248.

The spelling of 196009296 in words is "one hundred ninety-six million, nine thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 179 336 358 537 716 1074 1253 1432 2148 2506 2864 3259 3759 4296 5012 6518 7518 8592 9777 10024 13036 15036 19554 20048 22813 26072 30072 39108 45626 52144 60144 68439 78216 91252 136878 156432 182504 273756 365008 547512 583361 1095024 1166722 1750083 2333444 3500166 4083527 4666888 7000332 8167054 9333776 12250581 14000664 16334108 24501162 28001328 32668216 49002324 65336432 98004648 196009296