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5249400 = 2335213673
BaseRepresentation
bin10100000001100101111000
3100212200211020
4110001211320
52320440100
6304302440
762422242
oct24014570
910780736
105249400
112a65a52
121911a20
13111a470
149a9092
156da5a0
hex501978

5249400 has 96 divisors (see below), whose sum is σ = 17550960. Its totient is φ = 1290240.

The previous prime is 5249399. The next prime is 5249401. The reversal of 5249400 is 49425.

It is an interprime number because it is at equal distance from previous prime (5249399) and next prime (5249401).

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 (5249401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7464 + ... + 8136.

Almost surely, 25249400 is an apocalyptic number.

5249400 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 5249400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8775480).

5249400 is an abundant number, since it is smaller than the sum of its proper divisors (12301560).

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

5249400 is a wasteful number, since it uses less digits than its factorization.

5249400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 705 (or 696 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 5249400 is about 2291.1569130027. The cubic root of 5249400 is about 173.7947109889.

The spelling of 5249400 in words is "five million, two hundred forty-nine thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 25 26 30 39 40 50 52 60 65 75 78 100 104 120 130 150 156 195 200 260 300 312 325 390 520 600 650 673 780 975 1300 1346 1560 1950 2019 2600 2692 3365 3900 4038 5384 6730 7800 8076 8749 10095 13460 16152 16825 17498 20190 26247 26920 33650 34996 40380 43745 50475 52494 67300 69992 80760 87490 100950 104988 131235 134600 174980 201900 209976 218725 262470 349960 403800 437450 524940 656175 874900 1049880 1312350 1749800 2624700 5249400