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48866272 = 2571397173
BaseRepresentation
bin1011101001101…
…0001111100000
310101221122220221
42322122033200
5100002210042
64503212424
71132233160
oct272321740
9111848827
1048866272
1125646a54
1214447114
13a17c370
1466c05a0
154453d67
hex2e9a3e0

48866272 has 96 divisors (see below), whose sum is σ = 120318912. Its totient is φ = 19021824.

The previous prime is 48866263. The next prime is 48866297. The reversal of 48866272 is 27266884.

48866272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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, 282378 + ... + 282550.

It is an arithmetic number, because the mean of its divisors is an integer number (1253322).

Almost surely, 248866272 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 48866272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60159456).

48866272 is an abundant number, since it is smaller than the sum of its proper divisors (71452640).

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

48866272 is a wasteful number, since it uses less digits than its factorization.

48866272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 292 counting only the distinct ones).

The product of its digits is 258048, while the sum is 43.

The square root of 48866272 is about 6990.4414738985. The cubic root of 48866272 is about 365.5973754374.

The spelling of 48866272 in words is "forty-eight million, eight hundred sixty-six thousand, two hundred seventy-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 91 97 104 112 173 182 194 208 224 346 364 388 416 679 692 728 776 1211 1261 1358 1384 1456 1552 2249 2422 2522 2716 2768 2912 3104 4498 4844 5044 5432 5536 8827 8996 9688 10088 10864 15743 16781 17654 17992 19376 20176 21728 31486 33562 35308 35984 38752 40352 62972 67124 70616 71968 117467 125944 134248 141232 218153 234934 251888 268496 282464 436306 469868 503776 536992 872612 939736 1527071 1745224 1879472 3054142 3490448 3758944 6108284 6980896 12216568 24433136 48866272