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5488000 = 275373
BaseRepresentation
bin10100111011110110000000
3101022211010021
4110323312000
52401104000
6313343224
764435000
oct24736600
911284107
105488000
113109241
121a07b14
1311a1c4b
14a2c000
1573611a
hex53bd80

5488000 has 128 divisors (see below), whose sum is σ = 15912000. Its totient is φ = 1881600.

The previous prime is 5487967. The next prime is 5488001. The reversal of 5488000 is 8845.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5488001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 783997 + ... + 784003.

Almost surely, 25488000 is an apocalyptic number.

5488000 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 5488000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7956000).

5488000 is an abundant number, since it is smaller than the sum of its proper divisors (10424000).

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

5488000 is an frugal number, since it uses more digits than its factorization.

5488000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50 (or 14 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 25.

The square root of 5488000 is about 2342.6480742954. The cubic root of 5488000 is about 176.3889469853.

The spelling of 5488000 in words is "five million, four hundred eighty-eight thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 49 50 56 64 70 80 98 100 112 125 128 140 160 175 196 200 224 245 250 280 320 343 350 392 400 448 490 500 560 640 686 700 784 800 875 896 980 1000 1120 1225 1372 1400 1568 1600 1715 1750 1960 2000 2240 2450 2744 2800 3136 3200 3430 3500 3920 4000 4480 4900 5488 5600 6125 6272 6860 7000 7840 8000 8575 9800 10976 11200 12250 13720 14000 15680 16000 17150 19600 21952 22400 24500 27440 28000 31360 34300 39200 42875 43904 49000 54880 56000 68600 78400 85750 98000 109760 112000 137200 156800 171500 196000 219520 274400 343000 392000 548800 686000 784000 1097600 1372000 2744000 5488000