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5045400 = 2332522803
BaseRepresentation
bin10011001111110010011000
3100111022222200
4103033302120
52242423100
6300050200
760612423
oct23176230
910438880
105045400
112936758
121833960
131078659
149549ba
15699e00
hex4cfc98

5045400 has 72 divisors (see below), whose sum is σ = 16950180. Its totient is φ = 1344960.

The previous prime is 5045347. The next prime is 5045407. The reversal of 5045400 is 45405.

5045400 = T405 + T406 + ... + T458.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×50454002 = 50912122320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5045407) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 399 + ... + 3201.

Almost surely, 25045400 is an apocalyptic number.

5045400 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 5045400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8475090).

5045400 is an abundant number, since it is smaller than the sum of its proper divisors (11904780).

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

5045400 is a wasteful number, since it uses less digits than its factorization.

5045400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2825 (or 2813 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

The square root of 5045400 is about 2246.1967856802. The cubic root of 5045400 is about 171.5135887824.

It can be divided in two parts, 5045 and 400, that added together give a palindrome (5445).

The spelling of 5045400 in words is "five million, forty-five thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 450 600 900 1800 2803 5606 8409 11212 14015 16818 22424 25227 28030 33636 42045 50454 56060 67272 70075 84090 100908 112120 126135 140150 168180 201816 210225 252270 280300 336360 420450 504540 560600 630675 840900 1009080 1261350 1681800 2522700 5045400