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193471992 = 233272293161
BaseRepresentation
bin10111000100000…
…10010111111000
3111111001101200100
423202002113320
5344012100432
631110435400
74536325200
oct1342022770
9444041610
10193471992
119a23440a
1254962b60
133110cb8c
141b9a3400
1511eba07c
hexb8825f8

193471992 has 288 divisors, whose sum is σ = 661564800. Its totient is φ = 50803200.

The previous prime is 193471969. The next prime is 193472009. The reversal of 193471992 is 299174391.

193471992 is a `hidden beast` number, since 1 + 93 + 471 + 9 + 92 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3171642 + ... + 3171702.

It is an arithmetic number, because the mean of its divisors is an integer number (2297100).

Almost surely, 2193471992 is an apocalyptic number.

193471992 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 193471992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330782400).

193471992 is an abundant number, since it is smaller than the sum of its proper divisors (468092808).

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

193471992 is a wasteful number, since it uses less digits than its factorization.

193471992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 133 counting only the distinct ones).

The product of its digits is 122472, while the sum is 45.

The square root of 193471992 is about 13909.4209800408. The cubic root of 193471992 is about 578.3703680233.

The spelling of 193471992 in words is "one hundred ninety-three million, four hundred seventy-one thousand, nine hundred ninety-two".