Search a number
-
+
48820224 = 212329137
BaseRepresentation
bin1011101000111…
…1000000000000
310101212022202110
42322033000000
544444221344
64502215320
71131652005
oct272170000
9111768673
1048820224
11256153a2
1214424540
13a16440b
1466ab8ac
1544453b9
hex2e8f000

48820224 has 104 divisors (see below), whose sum is σ = 135642960. Its totient is φ = 15597568.

The previous prime is 48820223. The next prime is 48820241. The reversal of 48820224 is 42202884.

It is a junction number, because it is equal to n+sod(n) for n = 48820191 and 48820200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48820223) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 356284 + ... + 356420.

Almost surely, 248820224 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 48820224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67821480).

48820224 is an abundant number, since it is smaller than the sum of its proper divisors (86822736).

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

48820224 is a wasteful number, since it uses less digits than its factorization.

48820224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 30.

The square root of 48820224 is about 6987.1470572760. The cubic root of 48820224 is about 365.4825019398.

The spelling of 48820224 in words is "forty-eight million, eight hundred twenty thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 128 137 174 192 232 256 274 348 384 411 464 512 548 696 768 822 928 1024 1096 1392 1536 1644 1856 2048 2192 2784 3072 3288 3712 3973 4096 4384 5568 6144 6576 7424 7946 8768 11136 11919 12288 13152 14848 15892 17536 22272 23838 26304 29696 31784 35072 44544 47676 52608 59392 63568 70144 89088 95352 105216 118784 127136 140288 178176 190704 210432 254272 280576 356352 381408 420864 508544 561152 762816 841728 1017088 1525632 1683456 2034176 3051264 4068352 6102528 8136704 12205056 16273408 24410112 48820224