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1041839442 = 233729101941
BaseRepresentation
bin111110000110010…
…011010101010010
32200121101221001000
4332012103111102
54113202330232
6251214122430
734550326530
oct7606232522
92617357030
101041839442
11495100436
12250ab0416
13137ac9057
149c51d150
15616e827c
hex3e193552

1041839442 has 128 divisors (see below), whose sum is σ = 2767219200. Its totient is φ = 284256000.

The previous prime is 1041839437. The next prime is 1041839453. The reversal of 1041839442 is 2449381401.

It is a happy number.

1041839442 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 1041839397 and 1041839406.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1106692 + ... + 1107632.

It is an arithmetic number, because the mean of its divisors is an integer number (21618900).

Almost surely, 21041839442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1041839442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1383609600).

1041839442 is an abundant number, since it is smaller than the sum of its proper divisors (1725379758).

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

1041839442 is a wasteful number, since it uses less digits than its factorization.

1041839442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1089 (or 1083 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 1041839442 is about 32277.5377313698. The cubic root of 1041839442 is about 1013.7563750693.

The spelling of 1041839442 in words is "one billion, forty-one million, eight hundred thirty-nine thousand, four hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 29 42 54 58 63 87 101 126 174 189 202 203 261 303 378 406 522 606 609 707 783 909 941 1218 1414 1566 1818 1827 1882 2121 2727 2823 2929 3654 4242 5454 5481 5646 5858 6363 6587 8469 8787 10962 12726 13174 16938 17574 19089 19761 20503 25407 26361 27289 38178 39522 41006 50814 52722 54578 59283 61509 79083 81867 95041 118566 123018 158166 163734 177849 184527 190082 191023 245601 285123 355698 369054 382046 491202 553581 570246 573069 665287 736803 855369 1107162 1146138 1330574 1473606 1710738 1719207 1995861 2566107 2756189 3438414 3991722 5132214 5157621 5512378 5987583 8268567 10315242 11975166 16537134 17962749 19293323 24805701 35925498 38586646 49611402 57879969 74417103 115759938 148834206 173639907 347279814 520919721 1041839442