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5873568 = 253175961
BaseRepresentation
bin10110011001111110100000
3102001102000120
4112121332200
53000423233
6325520240
7100632051
oct26317640
912042016
105873568
113351998
121b73080
1312a85ac
14acc728
157b04b3
hex599fa0

5873568 has 96 divisors (see below), whose sum is σ = 16873920. Its totient is φ = 1781760.

The previous prime is 5873561. The next prime is 5873587. The reversal of 5873568 is 8653785.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

Its product of digits (201600) is a multiple of the sum of its prime factors (150).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5873561) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 96258 + ... + 96318.

It is an arithmetic number, because the mean of its divisors is an integer number (175770).

Almost surely, 25873568 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 5873568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8436960).

5873568 is an abundant number, since it is smaller than the sum of its proper divisors (11000352).

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

5873568 is a wasteful number, since it uses less digits than its factorization.

5873568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 142 counting only the distinct ones).

The product of its digits is 201600, while the sum is 42.

The square root of 5873568 is about 2423.5445116606. The cubic root of 5873568 is about 180.4266422796.

It can be divided in two parts, 5873 and 568, that added together give a triangular number (6441 = T113).

The spelling of 5873568 in words is "five million, eight hundred seventy-three thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 59 61 68 96 102 118 122 136 177 183 204 236 244 272 354 366 408 472 488 544 708 732 816 944 976 1003 1037 1416 1464 1632 1888 1952 2006 2074 2832 2928 3009 3111 3599 4012 4148 5664 5856 6018 6222 7198 8024 8296 10797 12036 12444 14396 16048 16592 21594 24072 24888 28792 32096 33184 43188 48144 49776 57584 61183 86376 96288 99552 115168 122366 172752 183549 244732 345504 367098 489464 734196 978928 1468392 1957856 2936784 5873568