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5290800 = 243524409
BaseRepresentation
bin10100001011101100110000
3100221210121120
4110023230300
52323301200
6305222240
762654034
oct24135460
910853546
105290800
112a94069
121931980
131133268
149ba1c4
156e79a0
hex50bb30

5290800 has 60 divisors (see below), whose sum is σ = 16952040. Its totient is φ = 1410560.

The previous prime is 5290799. The next prime is 5290807. The reversal of 5290800 is 80925.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (5290807) 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, 1005 + ... + 3404.

It is an arithmetic number, because the mean of its divisors is an integer number (282534).

Almost surely, 25290800 is an apocalyptic number.

5290800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5290800 is an abundant number, since it is smaller than the sum of its proper divisors (11661240).

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

5290800 is a wasteful number, since it uses less digits than its factorization.

5290800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4430 (or 4419 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 5290800 is about 2300.1739064688. The cubic root of 5290800 is about 174.2503991614.

The spelling of 5290800 in words is "five million, two hundred ninety thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 4409 8818 13227 17636 22045 26454 35272 44090 52908 66135 70544 88180 105816 110225 132270 176360 211632 220450 264540 330675 352720 440900 529080 661350 881800 1058160 1322700 1763600 2645400 5290800