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5042800 = 245271801
BaseRepresentation
bin10011001111001001110000
3100111012102101
4103033021300
52242332200
6300030144
760602020
oct23171160
910435371
105042800
112934804
121832354
131077409
14953a80
1569926a
hex4cf270

5042800 has 60 divisors (see below), whose sum is σ = 13853776. Its totient is φ = 1728000.

The previous prime is 5042797. The next prime is 5042827. The reversal of 5042800 is 82405.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1900 + ... + 3700.

Almost surely, 25042800 is an apocalyptic number.

5042800 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 5042800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6926888).

5042800 is an abundant number, since it is smaller than the sum of its proper divisors (8810976).

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

5042800 is a wasteful number, since it uses less digits than its factorization.

5042800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1826 (or 1815 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 5042800 is about 2245.6179550404. The cubic root of 5042800 is about 171.4841222087.

The spelling of 5042800 in words is "five million, forty-two thousand, eight hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 140 175 200 280 350 400 560 700 1400 1801 2800 3602 7204 9005 12607 14408 18010 25214 28816 36020 45025 50428 63035 72040 90050 100856 126070 144080 180100 201712 252140 315175 360200 504280 630350 720400 1008560 1260700 2521400 5042800