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5048064 = 28327313
BaseRepresentation
bin10011010000011100000000
3100111110122100
4103100130000
52243014224
6300110400
760623250
oct23203400
910443570
105048064
11293875a
121835400
131079928
14955960
1569aac9
hex4d0700

5048064 has 108 divisors (see below), whose sum is σ = 16687216. Its totient is φ = 1437696.

The previous prime is 5048047. The next prime is 5048077. The reversal of 5048064 is 4608405.

It is a congruent number.

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, 15972 + ... + 16284.

Almost surely, 25048064 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 5048064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8343608).

5048064 is an abundant number, since it is smaller than the sum of its proper divisors (11639152).

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

5048064 is a wasteful number, since it uses less digits than its factorization.

5048064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 325 counting only the distinct ones).

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

The square root of 5048064 is about 2246.7897097859. The cubic root of 5048064 is about 171.5437701890.

It can be divided in two parts, 504 and 8064, that multiplied together give a square (4064256 = 20162).

The spelling of 5048064 in words is "five million, forty-eight thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 256 288 313 336 384 448 504 576 626 672 768 896 939 1008 1152 1252 1344 1792 1878 2016 2191 2304 2504 2688 2817 3756 4032 4382 5008 5376 5634 6573 7512 8064 8764 10016 11268 13146 15024 16128 17528 19719 20032 22536 26292 30048 35056 39438 40064 45072 52584 60096 70112 78876 80128 90144 105168 120192 140224 157752 180288 210336 240384 280448 315504 360576 420672 560896 631008 721152 841344 1262016 1682688 2524032 5048064