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5096448 = 21032779
BaseRepresentation
bin10011011100010000000000
3100120221000100
4103130100000
52301041243
6301122400
761214310
oct23342000
910527010
105096448
112971045
121859400
131095966
14969440
156aa0d3
hex4dc400

5096448 has 132 divisors (see below), whose sum is σ = 17031040. Its totient is φ = 1437696.

The previous prime is 5096437. The next prime is 5096461. The reversal of 5096448 is 8446905.

5096448 is a `hidden beast` number, since 5 + 0 + 9 + 644 + 8 = 666.

5096448 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 (36).

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 11 ways as a sum of consecutive naturals, for example, 64473 + ... + 64551.

Almost surely, 25096448 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 5096448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8515520).

5096448 is an abundant number, since it is smaller than the sum of its proper divisors (11934592).

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

5096448 is a wasteful number, since it uses less digits than its factorization.

5096448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 5096448 is about 2257.5313951305. The cubic root of 5096448 is about 172.0900916166.

The spelling of 5096448 in words is "five million, ninety-six thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 79 84 96 112 126 128 144 158 168 192 224 237 252 256 288 316 336 384 448 474 504 512 553 576 632 672 711 768 896 948 1008 1024 1106 1152 1264 1344 1422 1536 1659 1792 1896 2016 2212 2304 2528 2688 2844 3072 3318 3584 3792 4032 4424 4608 4977 5056 5376 5688 6636 7168 7584 8064 8848 9216 9954 10112 10752 11376 13272 15168 16128 17696 19908 20224 21504 22752 26544 30336 32256 35392 39816 40448 45504 53088 60672 64512 70784 79632 80896 91008 106176 121344 141568 159264 182016 212352 242688 283136 318528 364032 424704 566272 637056 728064 849408 1274112 1698816 2548224 5096448