Search a number
-
+
874281681 = 3771323191
BaseRepresentation
bin110100000111000…
…111101011010001
32020221010010000000
4310013013223101
53242304003211
6222430520213
730444162120
oct6407075321
92227103000
10874281681
11409566849
12204966069
1310c190550
1484183ab7
1551b4b656
hex341c7ad1

874281681 has 128 divisors (see below), whose sum is σ = 1692794880. Its totient is φ = 438799680.

The previous prime is 874281649. The next prime is 874281691. The reversal of 874281681 is 186182478.

874281681 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 874281681 - 25 = 874281649 is a prime.

It is a super-2 number, since 2×8742816812 = 1528736915464371522, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (874281631) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4577296 + ... + 4577486.

It is an arithmetic number, because the mean of its divisors is an integer number (13224960).

Almost surely, 2874281681 is an apocalyptic number.

874281681 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

It is an amenable number.

874281681 is a deficient number, since it is larger than the sum of its proper divisors (818513199).

874281681 is a wasteful number, since it uses less digits than its factorization.

874281681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 237 counting only the distinct ones).

The product of its digits is 172032, while the sum is 45.

The square root of 874281681 is about 29568.2546153810. The cubic root of 874281681 is about 956.2037873861.

The spelling of 874281681 in words is "eight hundred seventy-four million, two hundred eighty-one thousand, six hundred eighty-one".

Divisors: 1 3 7 9 13 21 23 27 39 63 69 81 91 117 161 189 191 207 243 273 299 351 483 567 573 621 729 819 897 1053 1337 1449 1701 1719 1863 2093 2187 2457 2483 2691 3159 4011 4347 4393 5103 5157 5589 6279 7371 7449 8073 9477 12033 13041 13179 15309 15471 16767 17381 18837 22113 22347 24219 28431 30751 36099 39123 39537 46413 50301 52143 56511 57109 66339 67041 72657 92253 108297 117369 118611 139239 156429 169533 171327 199017 201123 217971 276759 324891 352107 355833 399763 417717 469287 508599 513981 603369 653913 830277 974673 1067499 1199289 1407861 1525797 1541943 1810107 2490831 2924019 3202497 3597867 4223583 4577391 4625829 5430321 7472493 9607491 10793601 12670749 13877487 22417479 32380803 38012247 41632461 67252437 97142409 124897383 291427227 874281681