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5007744 = 2735723
BaseRepresentation
bin10011000110100110000000
3100102102100000
4103012212000
52240221434
6255200000
760364560
oct23064600
910372300
105007744
112910435
121816000
131064481
14944da0
1568db99
hex4c6980

5007744 has 192 divisors, whose sum is σ = 17821440. Its totient is φ = 1368576.

The previous prime is 5007733. The next prime is 5007791. The reversal of 5007744 is 4477005.

It is a tau number, because it is divible by the number of its divisors (192).

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 217717 + ... + 217739.

It is an arithmetic number, because the mean of its divisors is an integer number (92820).

Almost surely, 25007744 is an apocalyptic number.

5007744 is a gapful number since it is divisible by the number (54) 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 5007744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8910720).

5007744 is an abundant number, since it is smaller than the sum of its proper divisors (12813696).

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

5007744 is an equidigital number, since it uses as much as digits as its factorization.

5007744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59 (or 35 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 27.

The square root of 5007744 is about 2237.7989185805. The cubic root of 5007744 is about 171.0858294888.

The spelling of 5007744 in words is "five million, seven thousand, seven hundred forty-four".