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5348000 = 25537191
BaseRepresentation
bin10100011001101010100000
3101001201002002
4110121222200
52332114000
6310343132
763312560
oct24315240
911051062
105348000
113023039
12195aaa8
1311532c8
149d2da0
157098d5
hex519aa0

5348000 has 96 divisors (see below), whose sum is σ = 15095808. Its totient is φ = 1824000.

The previous prime is 5347997. The next prime is 5348009. The reversal of 5348000 is 8435.

It is a super-2 number, since 2×53480002 = 57202208000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (5348009) 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, 27905 + ... + 28095.

It is an arithmetic number, because the mean of its divisors is an integer number (157248).

Almost surely, 25348000 is an apocalyptic number.

5348000 is a gapful number since it is divisible by the number (50) 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 5348000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7547904).

5348000 is an abundant number, since it is smaller than the sum of its proper divisors (9747808).

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

5348000 is a wasteful number, since it uses less digits than its factorization.

5348000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 5348000 is about 2312.5743231300. The cubic root of 5348000 is about 174.8761027796.

The spelling of 5348000 in words is "five million, three hundred forty-eight thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 70 80 100 112 125 140 160 175 191 200 224 250 280 350 382 400 500 560 700 764 800 875 955 1000 1120 1337 1400 1528 1750 1910 2000 2674 2800 3056 3500 3820 4000 4775 5348 5600 6112 6685 7000 7640 9550 10696 13370 14000 15280 19100 21392 23875 26740 28000 30560 33425 38200 42784 47750 53480 66850 76400 95500 106960 133700 152800 167125 191000 213920 267400 334250 382000 534800 668500 764000 1069600 1337000 2674000 5348000