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1938908928 = 28311376203
BaseRepresentation
bin111001110010001…
…0110011100000000
312000010101210000210
41303210112130000
512432330041203
6520221314120
766022311465
oct16344263400
95003353023
101938908928
11905510a80
12461405940
1324b9078b8
1414571566c
15b5346803
hex73916700

1938908928 has 144 divisors (see below), whose sum is σ = 5782525056. Its totient is φ = 571576320.

The previous prime is 1938908927. The next prime is 1938908963. The reversal of 1938908928 is 8298098391.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1938908921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 309475 + ... + 315677.

It is an arithmetic number, because the mean of its divisors is an integer number (40156424).

Almost surely, 21938908928 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 1938908928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2891262528).

1938908928 is an abundant number, since it is smaller than the sum of its proper divisors (3843616128).

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

1938908928 is a wasteful number, since it uses less digits than its factorization.

1938908928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6270 (or 6256 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 57.

The square root of 1938908928 is about 44033.0435922842. The cubic root of 1938908928 is about 1246.9598499579.

The spelling of 1938908928 in words is "one billion, nine hundred thirty-eight million, nine hundred eight thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 37 44 48 64 66 74 88 96 111 128 132 148 176 192 222 256 264 296 352 384 407 444 528 592 704 768 814 888 1056 1184 1221 1408 1628 1776 2112 2368 2442 2816 3256 3552 4224 4736 4884 6203 6512 7104 8448 9472 9768 12406 13024 14208 18609 19536 24812 26048 28416 37218 39072 49624 52096 68233 74436 78144 99248 104192 136466 148872 156288 198496 204699 229511 272932 297744 312576 396992 409398 459022 545864 595488 688533 793984 818796 918044 1091728 1190976 1377066 1587968 1637592 1836088 2183456 2381952 2524621 2754132 3275184 3672176 4366912 4763904 5049242 5508264 6550368 7344352 7573863 8733824 10098484 11016528 13100736 14688704 15147726 17467648 20196968 22033056 26201472 29377408 30295452 40393936 44066112 52402944 58754816 60590904 80787872 88132224 121181808 161575744 176264448 242363616 323151488 484727232 646302976 969454464 1938908928