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1938912048 = 2432971271093
BaseRepresentation
bin111001110010001…
…0111001100110000
312000010101221022100
41303210113030300
512432330141143
6520221340400
766022323543
oct16344271460
95003357270
101938912048
11905513357
12461407700
1324b909148
1414571685a
15b53476d3
hex73917330

1938912048 has 120 divisors (see below), whose sum is σ = 5530423808. Its totient is φ = 634023936.

The previous prime is 1938911993. The next prime is 1938912061. The reversal of 1938912048 is 8402198391.

It is a junction number, because it is equal to n+sod(n) for n = 1938911994 and 1938912012.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1773390 + ... + 1774482.

Almost surely, 21938912048 is an apocalyptic number.

1938912048 is a gapful number since it is divisible by the number (18) 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 1938912048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2765211904).

1938912048 is an abundant number, since it is smaller than the sum of its proper divisors (3591511760).

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

1938912048 is a wasteful number, since it uses less digits than its factorization.

1938912048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1331 (or 1322 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 1938912048 is about 44033.0790202093. The cubic root of 1938912048 is about 1246.9605188070.

The spelling of 1938912048 in words is "one billion, nine hundred thirty-eight million, nine hundred twelve thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 97 127 144 194 254 291 381 388 508 582 762 776 873 1016 1093 1143 1164 1524 1552 1746 2032 2186 2286 2328 3048 3279 3492 4372 4572 4656 6096 6558 6984 8744 9144 9837 12319 13116 13968 17488 18288 19674 24638 26232 36957 39348 49276 52464 73914 78696 98552 106021 110871 138811 147828 157392 197104 212042 221742 277622 295656 318063 416433 424084 443484 555244 591312 636126 832866 848168 886968 954189 1110488 1249299 1272252 1665732 1696336 1773936 1908378 2220976 2498598 2544504 3331464 3816756 4997196 5089008 6662928 7633512 9994392 13464667 15267024 19988784 26929334 40394001 53858668 80788002 107717336 121182003 161576004 215434672 242364006 323152008 484728012 646304016 969456024 1938912048