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5604192 = 2532112961
BaseRepresentation
bin10101011000001101100000
3101112201111200
4111120031200
52413313232
6320041200
765430516
oct25301540
911481450
105604192
113188570
121a63200
131212ab9
14a5c4b6
1575a77c
hex558360

5604192 has 144 divisors (see below), whose sum is σ = 18280080. Its totient is φ = 1612800.

The previous prime is 5604173. The next prime is 5604199. The reversal of 5604192 is 2914065.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5604199) 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, 91842 + ... + 91902.

It is an arithmetic number, because the mean of its divisors is an integer number (126945).

Almost surely, 25604192 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 5604192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9140040).

5604192 is an abundant number, since it is smaller than the sum of its proper divisors (12675888).

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

5604192 is a wasteful number, since it uses less digits than its factorization.

5604192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 5604192 is about 2367.3174692043. The cubic root of 5604192 is about 177.6250999344.

The spelling of 5604192 in words is "five million, six hundred four thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 29 32 33 36 44 48 58 61 66 72 87 88 96 99 116 122 132 144 174 176 183 198 232 244 261 264 288 319 348 352 366 396 464 488 522 528 549 638 671 696 732 792 928 957 976 1044 1056 1098 1276 1342 1392 1464 1584 1769 1914 1952 2013 2088 2196 2552 2684 2784 2871 2928 3168 3538 3828 4026 4176 4392 5104 5307 5368 5742 5856 6039 7076 7656 8052 8352 8784 10208 10614 10736 11484 12078 14152 15312 15921 16104 17568 19459 21228 21472 22968 24156 28304 30624 31842 32208 38918 42456 45936 48312 56608 58377 63684 64416 77836 84912 91872 96624 116754 127368 155672 169824 175131 193248 233508 254736 311344 350262 467016 509472 622688 700524 934032 1401048 1868064 2802096 5604192