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1801850944 = 261731411303
BaseRepresentation
bin110101101100110…
…0001000001000000
311122120111111211011
41223121201001000
512142233212234
6454443530304
762436323515
oct15331410100
94576444734
101801850944
11845109313
12423529994
132293ba6ba
1413143930c
15a82c1b64
hex6b661040

1801850944 has 112 divisors (see below), whose sum is σ = 4006388736. Its totient is φ = 799948800.

The previous prime is 1801850933. The next prime is 1801850957. The reversal of 1801850944 is 4490581081.

It is a super-2 number, since 2×18018509442 = 6493333648787382272, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1801850897 and 1801850906.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1382197 + ... + 1383499.

It is an arithmetic number, because the mean of its divisors is an integer number (35771328).

Almost surely, 21801850944 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 1801850944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2003194368).

1801850944 is an abundant number, since it is smaller than the sum of its proper divisors (2204537792).

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

1801850944 is a wasteful number, since it uses less digits than its factorization.

1801850944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1404 (or 1394 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 40.

The square root of 1801850944 is about 42448.2148505682. The cubic root of 1801850944 is about 1216.8572123992.

The spelling of 1801850944 in words is "one billion, eight hundred one million, eight hundred fifty thousand, nine hundred forty-four".

Divisors: 1 2 4 8 16 17 31 32 34 41 62 64 68 82 124 136 164 248 272 328 496 527 544 656 697 992 1054 1088 1271 1303 1312 1394 1984 2108 2542 2606 2624 2788 4216 5084 5212 5576 8432 10168 10424 11152 16864 20336 20848 21607 22151 22304 33728 40393 40672 41696 43214 44302 44608 53423 80786 81344 83392 86428 88604 106846 161572 172856 177208 213692 323144 345712 354416 427384 646288 686681 691424 708832 854768 908191 1292576 1373362 1382848 1417664 1656113 1709536 1816382 2585152 2746724 3312226 3419072 3632764 5493448 6624452 7265528 10986896 13248904 14531056 21973792 26497808 28153921 29062112 43947584 52995616 56307842 58124224 105991232 112615684 225231368 450462736 900925472 1801850944