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189796608 = 2838113
BaseRepresentation
bin10110101000000…
…01000100000000
3111020010200000000
423110001010000
5342041442413
630500000000
74463146611
oct1324010400
9436120000
10189796608
1198154001
1253690000
1330423cb1
141b2c7c08
15119e1073
hexb501100

189796608 has 162 divisors, whose sum is σ = 573277614. Its totient is φ = 62705664.

The previous prime is 189796589. The next prime is 189796639. The reversal of 189796608 is 806697981.

It can be written as a sum of positive squares in only one way, i.e., 107495424 + 82301184 = 10368^2 + 9072^2 .

It is a tau number, because it is divible by the number of its divisors (162).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1679560 + ... + 1679672.

Almost surely, 2189796608 is an apocalyptic number.

189796608 is a gapful number since it is divisible by the number (18) 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 189796608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286638807).

189796608 is an abundant number, since it is smaller than the sum of its proper divisors (383481006).

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

189796608 is an frugal number, since it uses more digits than its factorization.

189796608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The square root of 189796608 is about 13776.6689733041. The cubic root of 189796608 is about 574.6844978673.

Adding to 189796608 its product of nonzero digits (1306368), we get a 6-th power (191102976 = 246).

The spelling of 189796608 in words is "one hundred eighty-nine million, seven hundred ninety-six thousand, six hundred eight".