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48747328 = 267233467
BaseRepresentation
bin1011100111110…
…1001101000000
310101201121202121
42321331031000
544434403303
64500454024
71131226330
oct271751500
9111647677
1048747328
1125575653
12143aa314
13a13a196
14668d0c0
15442d9bd
hex2e7d340

48747328 has 56 divisors (see below), whose sum is σ = 111264192. Its totient is φ = 20757504.

The previous prime is 48747317. The next prime is 48747329. The reversal of 48747328 is 82374784.

48747328 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 (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48747329) 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 7 ways as a sum of consecutive naturals, for example, 104151 + ... + 104617.

Almost surely, 248747328 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 48747328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55632096).

48747328 is an abundant number, since it is smaller than the sum of its proper divisors (62516864).

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

48747328 is a wasteful number, since it uses less digits than its factorization.

48747328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 719 (or 709 counting only the distinct ones).

The product of its digits is 301056, while the sum is 43.

The square root of 48747328 is about 6981.9286733681. The cubic root of 48747328 is about 365.3005043878.

The spelling of 48747328 in words is "forty-eight million, seven hundred forty-seven thousand, three hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 233 448 466 467 932 934 1631 1864 1868 3262 3269 3728 3736 6524 6538 7456 7472 13048 13076 14912 14944 26096 26152 29888 52192 52304 104384 104608 108811 209216 217622 435244 761677 870488 1523354 1740976 3046708 3481952 6093416 6963904 12186832 24373664 48747328