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1938275328 = 210311411399
BaseRepresentation
bin111001110000111…
…1011110000000000
312000002012120220010
41303201323300000
512432144302303
6520155544520
766014032323
oct16341736000
95002176803
101938275328
11905118a40
1246115b140
1324b7453a2
141455cc7ba
15b526dc03
hex7387bc00

1938275328 has 176 divisors, whose sum is σ = 5777452800. Its totient is φ = 572620800.

The previous prime is 1938275309. The next prime is 1938275333. The reversal of 1938275328 is 8235728391.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (176).

It is a super-2 number, since 2×19382753282 = 7513822494267015168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1384773 + ... + 1386171.

Almost surely, 21938275328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1938275328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2888726400).

1938275328 is an abundant number, since it is smaller than the sum of its proper divisors (3839177472).

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

1938275328 is a wasteful number, since it uses less digits than its factorization.

1938275328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1474 (or 1456 counting only the distinct ones).

The product of its digits is 725760, while the sum is 48.

The square root of 1938275328 is about 44025.8484074981. The cubic root of 1938275328 is about 1246.8240072638.

The spelling of 1938275328 in words is "one billion, nine hundred thirty-eight million, two hundred seventy-five thousand, three hundred twenty-eight".