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5002368 = 27371861
BaseRepresentation
bin10011000101010010000000
3100102010221220
4103011102000
52240033433
6255115040
760343110
oct23052200
910363856
105002368
112907398
121812a80
131061ba7
14943040
1568c2b3
hex4c5480

5002368 has 64 divisors (see below), whose sum is σ = 15193920. Its totient is φ = 1428480.

The previous prime is 5002331. The next prime is 5002373. The reversal of 5002368 is 8632005.

It is a tau number, because it is divible by the number of its divisors (64).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1758 + ... + 3618.

It is an arithmetic number, because the mean of its divisors is an integer number (237405).

Almost surely, 25002368 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 5002368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7596960).

5002368 is an abundant number, since it is smaller than the sum of its proper divisors (10191552).

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

5002368 is a wasteful number, since it uses less digits than its factorization.

5002368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1885 (or 1873 counting only the distinct ones).

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

The square root of 5002368 is about 2236.5974157188. The cubic root of 5002368 is about 171.0245852275.

The spelling of 5002368 in words is "five million, two thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 336 384 448 672 896 1344 1861 2688 3722 5583 7444 11166 13027 14888 22332 26054 29776 39081 44664 52108 59552 78162 89328 104216 119104 156324 178656 208432 238208 312648 357312 416864 625296 714624 833728 1250592 1667456 2501184 5002368