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48244224 = 29372641
BaseRepresentation
bin1011100000001…
…0011000000000
310100210001122010
42320002120000
544322303344
64442012520
71124032500
oct270023000
9110701563
1048244224
1125261666
12141a7140
139cc21a2
14659ba00
15437e8b9
hex2e02600

48244224 has 120 divisors (see below), whose sum is σ = 149742648. Its totient is φ = 13762560.

The previous prime is 48244223. The next prime is 48244253. The reversal of 48244224 is 42244284.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 48244191 and 48244200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48244223) by changing a digit.

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, 74944 + ... + 75584.

Almost surely, 248244224 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 48244224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74871324).

48244224 is an abundant number, since it is smaller than the sum of its proper divisors (101498424).

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

48244224 is an equidigital number, since it uses as much as digits as its factorization.

48244224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 676 (or 653 counting only the distinct ones).

The product of its digits is 16384, while the sum is 30.

The square root of 48244224 is about 6945.8062167037. The cubic root of 48244224 is about 364.0394434575.

The spelling of 48244224 in words is "forty-eight million, two hundred forty-four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 128 147 168 192 196 224 256 294 336 384 392 448 512 588 641 672 768 784 896 1176 1282 1344 1536 1568 1792 1923 2352 2564 2688 3136 3584 3846 4487 4704 5128 5376 6272 7692 8974 9408 10256 10752 12544 13461 15384 17948 18816 20512 25088 26922 30768 31409 35896 37632 41024 53844 61536 62818 71792 75264 82048 94227 107688 123072 125636 143584 164096 188454 215376 246144 251272 287168 328192 376908 430752 492288 502544 574336 753816 861504 984576 1005088 1148672 1507632 1723008 2010176 2297344 3015264 3446016 4020352 6030528 6892032 8040704 12061056 16081408 24122112 48244224