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1938930966 = 233716331469
BaseRepresentation
bin111001110010001…
…1011110100010110
312000010102220021000
41303210123310112
512432331242331
6520222004130
766022432650
oct16344336426
95003386230
101938930966
11905526595
12461416646
1324b91493b
1414571d6d0
15b534d0e6
hex7391bd16

1938930966 has 64 divisors (see below), whose sum is σ = 4954636800. Its totient is φ = 550564128.

The previous prime is 1938930947. The next prime is 1938930967. The reversal of 1938930966 is 6690398391.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1938930967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45880 + ... + 77348.

It is an arithmetic number, because the mean of its divisors is an integer number (77416200).

Almost surely, 21938930966 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1938930966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2477318400).

1938930966 is an abundant number, since it is smaller than the sum of its proper divisors (3015705834).

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

1938930966 is a wasteful number, since it uses less digits than its factorization.

1938930966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31650 (or 31644 counting only the distinct ones).

The product of its (nonzero) digits is 1889568, while the sum is 54.

The square root of 1938930966 is about 44033.2938354605. The cubic root of 1938930966 is about 1246.9645743326.

The spelling of 1938930966 in words is "one billion, nine hundred thirty-eight million, nine hundred thirty thousand, nine hundred sixty-six".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 163 189 326 378 489 978 1141 1467 2282 2934 3423 4401 6846 8802 10269 20538 30807 31469 61614 62938 94407 188814 220283 283221 440566 566442 660849 849663 1321698 1699326 1982547 3965094 5129447 5947641 10258894 11895282 15388341 30776682 35906129 46165023 71812258 92330046 107718387 138495069 215436774 276990138 323155161 646310322 969465483 1938930966