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189097272 = 233273131931
BaseRepresentation
bin10110100010101…
…10010100111000
3111011211010200200
423101112110320
5341402103042
630433002200
74454205000
oct1321262470
9434733620
10189097272
1197816641
12533b3360
133023a8a0
141b185000
1511903c4c
hexb456538

189097272 has 384 divisors, whose sum is σ = 698880000. Its totient is φ = 45722880.

The previous prime is 189097267. The next prime is 189097277. The reversal of 189097272 is 272790981.

It is an interprime number because it is at equal distance from previous prime (189097267) and next prime (189097277).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (189097277) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 6099897 + ... + 6099927.

It is an arithmetic number, because the mean of its divisors is an integer number (1820000).

Almost surely, 2189097272 is an apocalyptic number.

189097272 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 189097272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349440000).

189097272 is an abundant number, since it is smaller than the sum of its proper divisors (509782728).

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

189097272 is a wasteful number, since it uses less digits than its factorization.

189097272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 45.

The square root of 189097272 is about 13751.2643782308. The cubic root of 189097272 is about 573.9777901381.

The spelling of 189097272 in words is "one hundred eighty-nine million, ninety-seven thousand, two hundred seventy-two".