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1869141248 = 28135310597
BaseRepresentation
bin110111101101000…
…1101010100000000
311211021010012202122
41233122031110000
512312000004443
6505250103412
764214303252
oct15732152400
94737105678
101869141248
1187a099537
12441b7ab68
1323a31aa50
1413a353cd2
15ae164968
hex6f68d500

1869141248 has 72 divisors (see below), whose sum is σ = 4094176968. Its totient is φ = 846323712.

The previous prime is 1869141229. The next prime is 1869141271. The reversal of 1869141248 is 8421419681.

It can be written as a sum of positive squares in 4 ways, for example, as 135424 + 1869005824 = 368^2 + 43232^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1869141199 and 1869141208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 171086 + ... + 181682.

It is an arithmetic number, because the mean of its divisors is an integer number (56863569).

Almost surely, 21869141248 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 1869141248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2047088484).

1869141248 is an abundant number, since it is smaller than the sum of its proper divisors (2225035720).

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

1869141248 is a wasteful number, since it uses less digits than its factorization.

1869141248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10679 (or 10665 counting only the distinct ones).

The product of its digits is 110592, while the sum is 44.

The square root of 1869141248 is about 43233.5662188536. The cubic root of 1869141248 is about 1231.8203482350.

The spelling of 1869141248 in words is "one billion, eight hundred sixty-nine million, one hundred forty-one thousand, two hundred forty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 53 64 104 106 128 208 212 256 416 424 689 832 848 1378 1664 1696 2756 3328 3392 5512 6784 10597 11024 13568 21194 22048 42388 44096 84776 88192 137761 169552 176384 275522 339104 551044 561641 678208 1102088 1123282 1356416 2204176 2246564 2712832 4408352 4493128 7301333 8816704 8986256 14602666 17633408 17972512 29205332 35266816 35945024 58410664 71890048 116821328 143780096 233642656 467285312 934570624 1869141248