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1938742992 = 24336173571
BaseRepresentation
bin111001110001110…
…1101111011010000
312000010002100102000
41303203231323100
512432304233432
6520213554000
766021020634
oct16343557320
95003070360
101938742992
1190540833a
12461345900
1324b87a204
141456b0dc4
15b531257c
hex738eded0

1938742992 has 80 divisors (see below), whose sum is σ = 5656215360. Its totient is φ = 635644800.

The previous prime is 1938742991. The next prime is 1938743041. The reversal of 1938742992 is 2992478391.

It is a super-2 number, since 2×19387429922 = 7517448778058224128, which contains 22 as substring.

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 (1938742991) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10434 + ... + 63137.

It is an arithmetic number, because the mean of its divisors is an integer number (70702692).

Almost surely, 21938742992 is an apocalyptic number.

1938742992 is a gapful number since it is divisible by the number (12) 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 1938742992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2828107680).

1938742992 is an abundant number, since it is smaller than the sum of its proper divisors (3717472368).

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

1938742992 is a wasteful number, since it uses less digits than its factorization.

1938742992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73649 (or 73637 counting only the distinct ones).

The product of its digits is 1959552, while the sum is 54.

The square root of 1938742992 is about 44031.1593306377. The cubic root of 1938742992 is about 1246.9242764403.

The spelling of 1938742992 in words is "one billion, nine hundred thirty-eight million, seven hundred forty-two thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 61 72 108 122 144 183 216 244 366 432 488 549 732 976 1098 1464 1647 2196 2928 3294 4392 6588 8784 13176 26352 73571 147142 220713 294284 441426 588568 662139 882852 1177136 1324278 1765704 1986417 2648556 3531408 3972834 4487831 5297112 7945668 8975662 10594224 13463493 15891336 17951324 26926986 31782672 35902648 40390479 53853972 71805296 80780958 107707944 121171437 161561916 215415888 242342874 323123832 484685748 646247664 969371496 1938742992