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48448728 = 233247103139
BaseRepresentation
bin1011100011010…
…0010011011000
310101011110011100
42320310103120
544400324403
64450231400
71125543636
oct270642330
9111143140
1048448728
1125391279
1214285560
13a0642b3
146612356
1543c02a3
hex2e344d8

48448728 has 96 divisors (see below), whose sum is σ = 136281600. Its totient is φ = 15539904.

The previous prime is 48448723. The next prime is 48448789. The reversal of 48448728 is 82784484.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48448721) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 348483 + ... + 348621.

It is an arithmetic number, because the mean of its divisors is an integer number (1419600).

Almost surely, 248448728 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 48448728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68140800).

48448728 is an abundant number, since it is smaller than the sum of its proper divisors (87832872).

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

48448728 is a wasteful number, since it uses less digits than its factorization.

48448728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 294 counting only the distinct ones).

The product of its digits is 458752, while the sum is 45.

The square root of 48448728 is about 6960.5120501296. The cubic root of 48448728 is about 364.5530978775.

The spelling of 48448728 in words is "forty-eight million, four hundred forty-eight thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 47 72 94 103 139 141 188 206 278 282 309 376 412 417 423 556 564 618 824 834 846 927 1112 1128 1236 1251 1668 1692 1854 2472 2502 3336 3384 3708 4841 5004 6533 7416 9682 10008 13066 14317 14523 19364 19599 26132 28634 29046 38728 39198 42951 43569 52264 57268 58092 58797 78396 85902 87138 114536 116184 117594 128853 156792 171804 174276 235188 257706 343608 348552 470376 515412 672899 1030824 1345798 2018697 2691596 4037394 5383192 6056091 8074788 12112182 16149576 24224364 48448728