Search a number
-
+
1687448084 = 2272172397227
BaseRepresentation
bin110010010010100…
…0110101000010100
311100121020020121012
41210211012220110
511423441314314
6435235511352
756550033500
oct14445065024
94317206535
101687448084
1179657a7a3
123b1158558
1320b7a32ba
14120179300
159d22493e
hex64946a14

1687448084 has 144 divisors (see below), whose sum is σ = 3851390592. Its totient is φ = 641507328.

The previous prime is 1687448069. The next prime is 1687448123. The reversal of 1687448084 is 4808447861.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7433579 + ... + 7433805.

It is an arithmetic number, because the mean of its divisors is an integer number (26745768).

Almost surely, 21687448084 is an apocalyptic number.

1687448084 is a gapful number since it is divisible by the number (14) 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 1687448084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1925695296).

1687448084 is an abundant number, since it is smaller than the sum of its proper divisors (2163942508).

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

1687448084 is a wasteful number, since it uses less digits than its factorization.

1687448084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 1376256, while the sum is 50.

The square root of 1687448084 is about 41078.5599065985. The cubic root of 1687448084 is about 1190.5385797379.

The spelling of 1687448084 in words is "one billion, six hundred eighty-seven million, four hundred forty-eight thousand, eighty-four".

Divisors: 1 2 4 7 14 17 23 28 34 46 49 68 92 97 98 119 161 194 196 227 238 322 388 391 454 476 644 679 782 833 908 1127 1358 1564 1589 1649 1666 2231 2254 2716 2737 3178 3298 3332 3859 4462 4508 4753 5221 5474 6356 6596 7718 8924 9506 10442 10948 11123 11543 15436 15617 19012 19159 20884 22019 22246 23086 27013 31234 36547 37927 38318 44038 44492 46172 54026 62468 73094 75854 76636 80801 88076 88757 108052 109319 146188 151708 154133 161602 177514 189091 218638 255829 265489 308266 323204 355028 374323 378182 437276 506437 511658 530978 616532 621299 748646 756364 1012874 1023316 1061956 1078931 1242598 1497292 1858423 2025748 2157862 2485196 2620261 3545059 3716846 4315724 4349093 5240522 7090118 7433692 8609429 8698186 10481044 14180236 17218858 17396372 18341827 24815413 34437716 36683654 49630826 60266003 73367308 99261652 120532006 241064012 421862021 843724042 1687448084