Search a number
-
+
1804260528 = 24337976151
BaseRepresentation
bin110101110001010…
…1101010010110000
311122202000221011000
41223202231102300
512143342314103
6455011322000
762465650530
oct15342552260
94582027130
101804260528
11846504704
124242b0300
13229a523a5
141318a54c0
15a85eaaa3
hex6b8ad4b0

1804260528 has 160 divisors (see below), whose sum is σ = 5980728320. Its totient is φ = 510105600.

The previous prime is 1804260527. The next prime is 1804260547. The reversal of 1804260528 is 8250624081.

1804260528 is a `hidden beast` number, since 1 + 8 + 0 + 42 + 605 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1804260492 and 1804260501.

It is not an unprimeable number, because it can be changed into a prime (1804260527) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 290253 + ... + 296403.

It is an arithmetic number, because the mean of its divisors is an integer number (37379552).

Almost surely, 21804260528 is an apocalyptic number.

1804260528 is a gapful number since it is divisible by the number (18) 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 1804260528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2990364160).

1804260528 is an abundant number, since it is smaller than the sum of its proper divisors (4176467792).

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

1804260528 is a wasteful number, since it uses less digits than its factorization.

1804260528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6272 (or 6260 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 1804260528 is about 42476.5879985669. The cubic root of 1804260528 is about 1217.3993981305.

The spelling of 1804260528 in words is "one billion, eight hundred four million, two hundred sixty thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 97 108 112 126 144 168 189 194 216 252 291 336 378 388 432 504 582 679 756 776 873 1008 1164 1358 1512 1552 1746 2037 2328 2619 2716 3024 3492 4074 4656 5238 5432 6111 6151 6984 8148 10476 10864 12222 12302 13968 16296 18333 18453 20952 24444 24604 32592 36666 36906 41904 43057 48888 49208 55359 73332 73812 86114 97776 98416 110718 129171 146664 147624 166077 172228 221436 258342 293328 295248 332154 344456 387513 442872 516684 596647 664308 688912 775026 885744 1033368 1162539 1193294 1328616 1550052 1789941 2066736 2325078 2386588 2657232 3100104 3579882 4176529 4650156 4773176 5369823 6200208 7159764 8353058 9300312 9546352 10739646 12529587 14319528 16109469 16706116 18600624 21479292 25059174 28639056 32218938 33412232 37588761 42958584 50118348 64437876 66824464 75177522 85917168 100236696 112766283 128875752 150355044 200473392 225532566 257751504 300710088 451065132 601420176 902130264 1804260528