Search a number
-
+
1825608096 = 2532132831723
BaseRepresentation
bin110110011010000…
…1001000110100000
311201020012111111200
41230310021012200
512214323424341
6501053041200
763145261404
oct15464110640
94636174450
101825608096
11857565424
1242b486200
132312b7ca0
14134661104
15aa415db6
hex6cd091a0

1825608096 has 144 divisors (see below), whose sum is σ = 5613937056. Its totient is φ = 559415808.

The previous prime is 1825608091. The next prime is 1825608119. The reversal of 1825608096 is 6908065281.

1825608096 is a `hidden beast` number, since 1 + 8 + 2 + 560 + 80 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (1825608091) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1058691 + ... + 1060413.

It is an arithmetic number, because the mean of its divisors is an integer number (38985674).

Almost surely, 21825608096 is an apocalyptic number.

1825608096 is a gapful number since it is divisible by the number (16) 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 1825608096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2806968528).

1825608096 is an abundant number, since it is smaller than the sum of its proper divisors (3788328960).

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

1825608096 is a wasteful number, since it uses less digits than its factorization.

1825608096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2035 (or 2024 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 1825608096 is about 42727.1353591602. The cubic root of 1825608096 is about 1222.1819092868.

The spelling of 1825608096 in words is "one billion, eight hundred twenty-five million, six hundred eight thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 283 288 312 416 468 566 624 849 936 1132 1248 1698 1723 1872 2264 2547 3396 3446 3679 3744 4528 5094 5169 6792 6892 7358 9056 10188 10338 11037 13584 13784 14716 15507 20376 20676 22074 22399 27168 27568 29432 31014 33111 40752 41352 44148 44798 55136 58864 62028 66222 67197 81504 82704 88296 89596 117728 124056 132444 134394 165408 176592 179192 201591 248112 264888 268788 353184 358384 403182 487609 496224 529776 537576 716768 806364 975218 1059552 1075152 1462827 1612728 1950436 2150304 2925654 3225456 3900872 4388481 5851308 6338917 6450912 7801744 8776962 11702616 12677834 15603488 17553924 19016751 23405232 25355668 35107848 38033502 46810464 50711336 57050253 70215696 76067004 101422672 114100506 140431392 152134008 202845344 228201012 304268016 456402024 608536032 912804048 1825608096