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48445344 = 2533471193
BaseRepresentation
bin1011100011001…
…1011110100000
310101011021112000
42320303132200
544400222334
64450204000
71125531033
oct270633640
9111137460
1048445344
1125389782
1214283600
13a0628ac
14661101a
1543be299
hex2e337a0

48445344 has 96 divisors (see below), whose sum is σ = 144426240. Its totient is φ = 15791616.

The previous prime is 48445303. The next prime is 48445349. The reversal of 48445344 is 44354484.

48445344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 48445299 and 48445308.

It is not an unprimeable number, because it can be changed into a prime (48445349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40012 + ... + 41204.

It is an arithmetic number, because the mean of its divisors is an integer number (1504440).

Almost surely, 248445344 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 48445344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72213120).

48445344 is an abundant number, since it is smaller than the sum of its proper divisors (95980896).

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

48445344 is a wasteful number, since it uses less digits than its factorization.

48445344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1259 (or 1245 counting only the distinct ones).

The product of its digits is 122880, while the sum is 36.

The square root of 48445344 is about 6960.2689603204. The cubic root of 48445344 is about 364.5446100289.

The spelling of 48445344 in words is "forty-eight million, four hundred forty-five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 47 48 54 72 94 96 108 141 144 188 216 282 288 376 423 432 564 752 846 864 1128 1193 1269 1504 1692 2256 2386 2538 3384 3579 4512 4772 5076 6768 7158 9544 10152 10737 13536 14316 19088 20304 21474 28632 32211 38176 40608 42948 56071 57264 64422 85896 112142 114528 128844 168213 171792 224284 257688 336426 343584 448568 504639 515376 672852 897136 1009278 1030752 1345704 1513917 1794272 2018556 2691408 3027834 4037112 5382816 6055668 8074224 12111336 16148448 24222672 48445344