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5341248 = 263311281
BaseRepresentation
bin10100011000000001000000
3101001100211000
4110120001000
52331404443
6310252000
763254103
oct24300100
911040730
105341248
113018a60
121957000
131150203
149d073a
157078d3
hex518040

5341248 has 112 divisors (see below), whose sum is σ = 17190720. Its totient is φ = 1612800.

The previous prime is 5341241. The next prime is 5341253. The reversal of 5341248 is 8421435.

5341248 is a `hidden beast` number, since 534 + 124 + 8 = 666.

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

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (5341241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18868 + ... + 19148.

Almost surely, 25341248 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 5341248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8595360).

5341248 is an abundant number, since it is smaller than the sum of its proper divisors (11849472).

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

5341248 is a wasteful number, since it uses less digits than its factorization.

5341248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 297 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 5341248 is about 2311.1140170922. The cubic root of 5341248 is about 174.8024764576.

The spelling of 5341248 in words is "five million, three hundred forty-one thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 88 96 99 108 132 144 176 192 198 216 264 281 288 297 352 396 432 528 562 576 594 704 792 843 864 1056 1124 1188 1584 1686 1728 2112 2248 2376 2529 3091 3168 3372 4496 4752 5058 6182 6336 6744 7587 8992 9273 9504 10116 12364 13488 15174 17984 18546 19008 20232 24728 26976 27819 30348 37092 40464 49456 53952 55638 60696 74184 80928 83457 98912 111276 121392 148368 161856 166914 197824 222552 242784 296736 333828 445104 485568 593472 667656 890208 1335312 1780416 2670624 5341248