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5276400 = 243524397
BaseRepresentation
bin10100001000001011110000
3100221001212020
4110020023300
52322321100
6305031440
762564043
oct24101360
910831766
105276400
112a84268
121925580
13112983c
149b4c5a
156e35a0
hex5082f0

5276400 has 60 divisors (see below), whose sum is σ = 16905912. Its totient is φ = 1406720.

The previous prime is 5276399. The next prime is 5276419. The reversal of 5276400 is 46725.

It is a happy number.

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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 999 + ... + 3398.

Almost surely, 25276400 is an apocalyptic number.

5276400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5276400 is an abundant number, since it is smaller than the sum of its proper divisors (11629512).

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

5276400 is a wasteful number, since it uses less digits than its factorization.

5276400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4418 (or 4407 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 5276400 is about 2297.0415755924. The cubic root of 5276400 is about 174.0921694271.

Subtracting from 5276400 its sum of digits (24), we obtain a triangular number (5276376 = T3248).

The spelling of 5276400 in words is "five million, two hundred seventy-six thousand, four 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 4397 8794 13191 17588 21985 26382 35176 43970 52764 65955 70352 87940 105528 109925 131910 175880 211056 219850 263820 329775 351760 439700 527640 659550 879400 1055280 1319100 1758800 2638200 5276400