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5875296 = 253721249
BaseRepresentation
bin10110011010011001100000
3102001111101120
4112122121200
53001002141
6325532240
7100640100
oct26323140
912044346
105875296
113353219
121b74080
1312a930b
14acd200
157b0c66
hex59a660

5875296 has 72 divisors (see below), whose sum is σ = 17955000. Its totient is φ = 1677312.

The previous prime is 5875291. The next prime is 5875301. The reversal of 5875296 is 6925785.

It is an interprime number because it is at equal distance from previous prime (5875291) and next prime (5875301).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a d-powerful number, because it can be written as 56 + 82 + 78 + 57 + 214 + 92 + 63 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5875291) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4080 + ... + 5328.

It is an arithmetic number, because the mean of its divisors is an integer number (249375).

Almost surely, 25875296 is an apocalyptic number.

5875296 is a gapful number since it is divisible by the number (56) 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 5875296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8977500).

5875296 is an abundant number, since it is smaller than the sum of its proper divisors (12079704).

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

5875296 is a wasteful number, since it uses less digits than its factorization.

5875296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1276 (or 1261 counting only the distinct ones).

The product of its digits is 151200, while the sum is 42.

The square root of 5875296 is about 2423.9009880769. The cubic root of 5875296 is about 180.4443343462. Note that the first 3 decimals are identical.

The spelling of 5875296 in words is "five million, eight hundred seventy-five thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 84 96 98 112 147 168 196 224 294 336 392 588 672 784 1176 1249 1568 2352 2498 3747 4704 4996 7494 8743 9992 14988 17486 19984 26229 29976 34972 39968 52458 59952 61201 69944 104916 119904 122402 139888 183603 209832 244804 279776 367206 419664 489608 734412 839328 979216 1468824 1958432 2937648 5875296