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5419008 = 2123372
BaseRepresentation
bin10100101011000000000000
3101012022111000
4110223000000
52341402013
6312052000
764026600
oct24530000
911168430
105419008
113071421
121994000
13117971a
14a10c00
15720973
hex52b000

5419008 has 156 divisors (see below), whose sum is σ = 18675480. Its totient is φ = 1548288.

The previous prime is 5418991. The next prime is 5419013. The reversal of 5419008 is 8009145.

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.

5419008 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 774141 + ... + 774147.

Almost surely, 25419008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5419008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9337740).

5419008 is an abundant number, since it is smaller than the sum of its proper divisors (13256472).

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

5419008 is an equidigital number, since it uses as much as digits as its factorization.

5419008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47 (or 12 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 5419008 is about 2327.8762853726. The cubic root of 5419008 is about 175.6466740811.

Multiplying 5419008 by its sum of digits (27), we get a square (146313216 = 120962).

5419008 divided by its sum of digits (27) gives a square (200704 = 4482).

The spelling of 5419008 in words is "five million, four hundred nineteen thousand, eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 49 54 56 63 64 72 84 96 98 108 112 126 128 144 147 168 189 192 196 216 224 252 256 288 294 336 378 384 392 432 441 448 504 512 576 588 672 756 768 784 864 882 896 1008 1024 1152 1176 1323 1344 1512 1536 1568 1728 1764 1792 2016 2048 2304 2352 2646 2688 3024 3072 3136 3456 3528 3584 4032 4096 4608 4704 5292 5376 6048 6144 6272 6912 7056 7168 8064 9216 9408 10584 10752 12096 12288 12544 13824 14112 14336 16128 18432 18816 21168 21504 24192 25088 27648 28224 28672 32256 36864 37632 42336 43008 48384 50176 55296 56448 64512 75264 84672 86016 96768 100352 110592 112896 129024 150528 169344 193536 200704 225792 258048 301056 338688 387072 451584 602112 677376 774144 903168 1354752 1806336 2709504 5419008