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5194800 = 2433521337
BaseRepresentation
bin10011110100010000110000
3100202220221000
4103310100300
52312213200
6303202000
762104122
oct23642060
910686830
105194800
112a28a26
1218a6300
1310cb660
14993212
156c9300
hex4f4430

5194800 has 240 divisors, whose sum is σ = 20450080. Its totient is φ = 1244160.

The previous prime is 5194793. The next prime is 5194807. The reversal of 5194800 is 84915.

It is an interprime number because it is at equal distance from previous prime (5194793) and next prime (5194807).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5194807) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 140382 + ... + 140418.

Almost surely, 25194800 is an apocalyptic number.

5194800 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 5194800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10225040).

5194800 is an abundant number, since it is smaller than the sum of its proper divisors (15255280).

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

5194800 is a wasteful number, since it uses less digits than its factorization.

5194800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 5194800 is about 2279.2103895867. The cubic root of 5194800 is about 173.1900525340.

The spelling of 5194800 in words is "five million, one hundred ninety-four thousand, eight hundred".