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5048320 = 21151729
BaseRepresentation
bin10011010000100000000000
3100111110222211
4103100200000
52243021240
6300111504
760624064
oct23204000
910443884
105048320
112938972
121835594
131079a94
14955aa4
1569abea
hex4d0800

5048320 has 96 divisors (see below), whose sum is σ = 13267800. Its totient is φ = 1835008.

The previous prime is 5048297. The next prime is 5048353. The reversal of 5048320 is 238405.

It can be written as a sum of positive squares in 4 ways, for example, as 4596736 + 451584 = 2144^2 + 672^2 .

It is a junction number, because it is equal to n+sod(n) for n = 5048291 and 5048300.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 174066 + ... + 174094.

Almost surely, 25048320 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 5048320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6633900).

5048320 is an abundant number, since it is smaller than the sum of its proper divisors (8219480).

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

5048320 is a wasteful number, since it uses less digits than its factorization.

5048320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 5048320 is about 2246.8466792374. The cubic root of 5048320 is about 171.5466699451.

The spelling of 5048320 in words is "five million, forty-eight thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 29 32 34 40 58 64 68 80 85 116 128 136 145 160 170 232 256 272 290 320 340 464 493 512 544 580 640 680 928 986 1024 1088 1160 1280 1360 1856 1972 2048 2176 2320 2465 2560 2720 3712 3944 4352 4640 4930 5120 5440 7424 7888 8704 9280 9860 10240 10880 14848 15776 17408 18560 19720 21760 29696 31552 34816 37120 39440 43520 59392 63104 74240 78880 87040 126208 148480 157760 174080 252416 296960 315520 504832 631040 1009664 1262080 2524160 5048320