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5408424 = 23337373
BaseRepresentation
bin10100101000011010101000
3101011202222000
4110220122220
52341032144
6311531000
763654000
oct24503250
911152860
105408424
11306447a
121989a60
131174968
14a0b000
1571c769
hex5286a8

5408424 has 128 divisors (see below), whose sum is σ = 17760000. Its totient is φ = 1524096.

The previous prime is 5408423. The next prime is 5408437. The reversal of 5408424 is 4248045.

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

It is not an unprimeable number, because it can be changed into a prime (5408423) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 74052 + ... + 74124.

It is an arithmetic number, because the mean of its divisors is an integer number (138750).

Almost surely, 25408424 is an apocalyptic number.

5408424 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 5408424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8880000).

5408424 is an abundant number, since it is smaller than the sum of its proper divisors (12351576).

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

5408424 is a wasteful number, since it uses less digits than its factorization.

5408424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 5408424 is about 2325.6018575844. The cubic root of 5408424 is about 175.5322462480.

It can be divided in two parts, 5408 and 424, that added together give a cube (5832 = 183).

The spelling of 5408424 in words is "five million, four hundred eight thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 49 54 56 63 72 73 84 98 108 126 146 147 168 189 196 216 219 252 292 294 343 378 392 438 441 504 511 584 588 657 686 756 876 882 1022 1029 1176 1314 1323 1372 1512 1533 1752 1764 1971 2044 2058 2628 2646 2744 3066 3087 3528 3577 3942 4088 4116 4599 5256 5292 6132 6174 7154 7884 8232 9198 9261 10584 10731 12264 12348 13797 14308 15768 18396 18522 21462 24696 25039 27594 28616 32193 36792 37044 42924 50078 55188 64386 74088 75117 85848 96579 100156 110376 128772 150234 193158 200312 225351 257544 300468 386316 450702 600936 676053 772632 901404 1352106 1802808 2704212 5408424