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196427232 = 2532739343
BaseRepresentation
bin10111011010100…
…11110111100000
3111200121112111200
423231103313200
5400241132412
631254041200
74603414101
oct1355236740
9450545450
10196427232
11a0972761
1255949200
1331906041
141c1323a8
15123a09dc
hexbb53de0

196427232 has 72 divisors (see below), whose sum is σ = 566302464. Its totient is φ = 64571904.

The previous prime is 196427227. The next prime is 196427239. The reversal of 196427232 is 232724691.

196427232 is a `hidden beast` number, since 1 + 9 + 642 + 7 + 2 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (196427239) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16353 + ... + 25695.

It is an arithmetic number, because the mean of its divisors is an integer number (7865312).

Almost surely, 2196427232 is an apocalyptic number.

196427232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

196427232 is the 7008-th decagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 196427232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283151232).

196427232 is an abundant number, since it is smaller than the sum of its proper divisors (369875232).

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

196427232 is a wasteful number, since it uses less digits than its factorization.

196427232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9432 (or 9421 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 196427232 is about 14015.2499799326. The cubic root of 196427232 is about 581.3003247444.

The spelling of 196427232 in words is "one hundred ninety-six million, four hundred twenty-seven thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 73 96 144 146 219 288 292 438 584 657 876 1168 1314 1752 2336 2628 3504 5256 7008 9343 10512 18686 21024 28029 37372 56058 74744 84087 112116 149488 168174 224232 298976 336348 448464 672696 682039 896928 1345392 1364078 2046117 2690784 2728156 4092234 5456312 6138351 8184468 10912624 12276702 16368936 21825248 24553404 32737872 49106808 65475744 98213616 196427232