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5144256 = 263313229
BaseRepresentation
bin10011100111111011000000
3100200100121000
4103213323000
52304104011
6302132000
761503555
oct23477300
910610530
105144256
1129a3a57
121881000
1310b1650
1497ca2c
156b9356
hex4e7ec0

5144256 has 112 divisors (see below), whose sum is σ = 16357600. Its totient is φ = 1575936.

The previous prime is 5144189. The next prime is 5144263. The reversal of 5144256 is 6524415.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22350 + ... + 22578.

It is an arithmetic number, because the mean of its divisors is an integer number (146050).

Almost surely, 25144256 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 5144256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8178800).

5144256 is an abundant number, since it is smaller than the sum of its proper divisors (11213344).

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

5144256 is a wasteful number, since it uses less digits than its factorization.

5144256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 247 counting only the distinct ones).

The product of its digits is 4800, while the sum is 27.

The square root of 5144256 is about 2268.0952360957. The cubic root of 5144256 is about 172.6265234334.

The spelling of 5144256 in words is "five million, one hundred forty-four thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 96 104 108 117 144 156 192 208 216 229 234 288 312 351 416 432 458 468 576 624 687 702 832 864 916 936 1248 1374 1404 1728 1832 1872 2061 2496 2748 2808 2977 3664 3744 4122 5496 5616 5954 6183 7328 7488 8244 8931 10992 11232 11908 12366 14656 16488 17862 21984 22464 23816 24732 26793 32976 35724 43968 47632 49464 53586 65952 71448 80379 95264 98928 107172 131904 142896 160758 190528 197856 214344 285792 321516 395712 428688 571584 643032 857376 1286064 1714752 2572128 5144256