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5829376 = 2873253
BaseRepresentation
bin10110001111001100000000
3101222011101211
4112033030000
52443020001
6324535504
7100356160
oct26171400
911864354
105829376
113321773
121b51594
131291447
14aba5a0
157a2351
hex58f300

5829376 has 36 divisors (see below), whose sum is σ = 13302352. Its totient is φ = 2497536.

The previous prime is 5829361. The next prime is 5829391. The reversal of 5829376 is 6739285.

It is an interprime number because it is at equal distance from previous prime (5829361) and next prime (5829391).

It is a d-powerful number, because it can be written as 55 + 83 + 29 + 92 + 310 + 78 + 64 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 166 + ... + 3418.

Almost surely, 25829376 is an apocalyptic number.

5829376 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 5829376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6651176).

5829376 is an abundant number, since it is smaller than the sum of its proper divisors (7472976).

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

5829376 is an equidigital number, since it uses as much as digits as its factorization.

5829376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3276 (or 3262 counting only the distinct ones).

The product of its digits is 90720, while the sum is 40.

The square root of 5829376 is about 2414.4100728749. The cubic root of 5829376 is about 179.9730000654.

Subtracting 5829376 from its reverse (6739285), we obtain a palindrome (909909).

The spelling of 5829376 in words is "five million, eight hundred twenty-nine thousand, three hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 896 1792 3253 6506 13012 22771 26024 45542 52048 91084 104096 182168 208192 364336 416384 728672 832768 1457344 2914688 5829376