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1938621696 = 283112941193
BaseRepresentation
bin111001110001101…
…0000010100000000
312000002212012000120
41303203100110000
512432241343241
6520211220240
766020004204
oct16343202400
95002765016
101938621696
119053351a0
124612a7680
1324b836c3b
1414567cb04
15b52db666
hex738d0500

1938621696 has 288 divisors, whose sum is σ = 5995624320. Its totient is φ = 550502400.

The previous prime is 1938621679. The next prime is 1938621719. The reversal of 1938621696 is 6961268391.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10044576 + ... + 10044768.

It is an arithmetic number, because the mean of its divisors is an integer number (20818140).

Almost surely, 21938621696 is an apocalyptic number.

1938621696 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 1938621696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2997812160).

1938621696 is an abundant number, since it is smaller than the sum of its proper divisors (4057002624).

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

1938621696 is a wasteful number, since it uses less digits than its factorization.

1938621696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 279 counting only the distinct ones).

The product of its digits is 839808, while the sum is 51.

The square root of 1938621696 is about 44029.7819208771. The cubic root of 1938621696 is about 1246.8982716041.

The spelling of 1938621696 in words is "one billion, nine hundred thirty-eight million, six hundred twenty-one thousand, six hundred ninety-six".