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5346208 = 25729823
BaseRepresentation
bin10100011001001110100000
3101001121121201
4110121032200
52332034313
6310330544
763304420
oct24311640
911047551
105346208
11302175a
121959a54
13115254a
149d2480
157090dd
hex5193a0

5346208 has 48 divisors (see below), whose sum is σ = 12458880. Its totient is φ = 2209536.

The previous prime is 5346199. The next prime is 5346227. The reversal of 5346208 is 8026435.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6085 + ... + 6907.

It is an arithmetic number, because the mean of its divisors is an integer number (259560).

Almost surely, 25346208 is an apocalyptic number.

5346208 is a gapful number since it is divisible by the number (58) 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 5346208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6229440).

5346208 is an abundant number, since it is smaller than the sum of its proper divisors (7112672).

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

5346208 is a wasteful number, since it uses less digits than its factorization.

5346208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 869 (or 861 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 5346208 is about 2312.1868436612. The cubic root of 5346208 is about 174.8565681882.

The spelling of 5346208 in words is "five million, three hundred forty-six thousand, two hundred eight".

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 112 116 203 224 232 406 464 812 823 928 1624 1646 3248 3292 5761 6496 6584 11522 13168 23044 23867 26336 46088 47734 92176 95468 167069 184352 190936 334138 381872 668276 763744 1336552 2673104 5346208