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196242072 = 233132322941
BaseRepresentation
bin10111011001001…
…10101010011000
3111200021010111220
423230212222120
5400214221242
631250052040
74602013215
oct1354465230
9450233456
10196242072
11a0856634
125587a020
133186c990
141c0c4b0c
1512365bec
hexbb26a98

196242072 has 192 divisors, whose sum is σ = 585295200. Its totient is φ = 54405120.

The previous prime is 196242071. The next prime is 196242103. The reversal of 196242072 is 270242691.

196242072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (196242071) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4786372 + ... + 4786412.

Almost surely, 2196242072 is an apocalyptic number.

196242072 is a gapful number since it is divisible by the number (12) 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 196242072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292647600).

196242072 is an abundant number, since it is smaller than the sum of its proper divisors (389053128).

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

196242072 is a wasteful number, since it uses less digits than its factorization.

196242072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 196242072 is about 14008.6427608102. The cubic root of 196242072 is about 581.1176151736.

The spelling of 196242072 in words is "one hundred ninety-six million, two hundred forty-two thousand, seventy-two".