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1889390976 = 273113147307
BaseRepresentation
bin111000010011101…
…1101000110000000
311212200020000011120
41300213131012000
512332141002401
6511252112240
764551362334
oct16047350600
94780200146
101889390976
1188a56a450
12448905680
1324158aa35
1413cd057c4
15b0d14836
hex709dd180

1889390976 has 256 divisors, whose sum is σ = 5790597120. Its totient is φ = 540518400.

The previous prime is 1889390969. The next prime is 1889390981. The reversal of 1889390976 is 6790939881.

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 31 ways as a sum of consecutive naturals, for example, 6154215 + ... + 6154521.

It is an arithmetic number, because the mean of its divisors is an integer number (22619520).

Almost surely, 21889390976 is an apocalyptic number.

1889390976 is a gapful number since it is divisible by the number (16) 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 1889390976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2895298560).

1889390976 is an abundant number, since it is smaller than the sum of its proper divisors (3901206144).

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

1889390976 is a wasteful number, since it uses less digits than its factorization.

1889390976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 60.

The square root of 1889390976 is about 43467.1252327549. The cubic root of 1889390976 is about 1236.2527734714.

The spelling of 1889390976 in words is "one billion, eight hundred eighty-nine million, three hundred ninety thousand, nine hundred seventy-six".