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5283400500 = 22335374163
BaseRepresentation
bin1001110101110101…
…00100101100110100
3111122012122112222000
410322322210230310
541310022304000
62232133335300
7244633110000
oct47272445464
914565575860
105283400500
112271383aa4
121035497530
13662796cb1
14381993700
1520dc87000
hex13aea4b34

5283400500 has 480 divisors, whose sum is σ = 20065019520. Its totient is φ = 1200225600.

The previous prime is 5283400489. The next prime is 5283400531. The reversal of 5283400500 is 50043825.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 32413419 + ... + 32413581.

It is an arithmetic number, because the mean of its divisors is an integer number (41802124).

Almost surely, 25283400500 is an apocalyptic number.

5283400500 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 5283400500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10032509760).

5283400500 is an abundant number, since it is smaller than the sum of its proper divisors (14781619020).

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

5283400500 is a wasteful number, since it uses less digits than its factorization.

5283400500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 5283400500 is about 72687.0036526476. The cubic root of 5283400500 is about 1741.6912806312.

The spelling of 5283400500 in words is "five billion, two hundred eighty-three million, four hundred thousand, five hundred".