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5388000 = 25353449
BaseRepresentation
bin10100100011011011100000
3101010201221120
4110203123200
52334404000
6311252240
763540312
oct24433340
911121846
105388000
1130500a2
12197a080
131168587
14a037b2
157166a0
hex5236e0

5388000 has 96 divisors (see below), whose sum is σ = 17690400. Its totient is φ = 1433600.

The previous prime is 5387999. The next prime is 5388007. The reversal of 5388000 is 8835.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5388007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11776 + ... + 12224.

It is an arithmetic number, because the mean of its divisors is an integer number (184275).

Almost surely, 25388000 is an apocalyptic number.

5388000 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 5388000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8845200).

5388000 is an abundant number, since it is smaller than the sum of its proper divisors (12302400).

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

5388000 is a wasteful number, since it uses less digits than its factorization.

5388000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 5388000 is about 2321.2065827927. The cubic root of 5388000 is about 175.3110115659.

The spelling of 5388000 in words is "five million, three hundred eighty-eight thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 449 480 500 600 750 800 898 1000 1200 1347 1500 1796 2000 2245 2400 2694 3000 3592 4000 4490 5388 6000 6735 7184 8980 10776 11225 12000 13470 14368 17960 21552 22450 26940 33675 35920 43104 44900 53880 56125 67350 71840 89800 107760 112250 134700 168375 179600 215520 224500 269400 336750 359200 449000 538800 673500 898000 1077600 1347000 1796000 2694000 5388000