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48573728 = 25719101113
BaseRepresentation
bin1011100101001…
…0110100100000
310101101210121222
42321102310200
544413324403
64453034212
71126604240
oct271226440
9111353558
1048573728
1125467185
1214325968
13a0a9168
146645b20
1543e7338
hex2e52d20

48573728 has 96 divisors (see below), whose sum is σ = 117210240. Its totient is φ = 19353600.

The previous prime is 48573719. The next prime is 48573757. The reversal of 48573728 is 82737584.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 429800 + ... + 429912.

It is an arithmetic number, because the mean of its divisors is an integer number (1220940).

Almost surely, 248573728 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 48573728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58605120).

48573728 is an abundant number, since it is smaller than the sum of its proper divisors (68636512).

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

48573728 is a wasteful number, since it uses less digits than its factorization.

48573728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 242 counting only the distinct ones).

The product of its digits is 376320, while the sum is 44.

The square root of 48573728 is about 6969.4854903357. The cubic root of 48573728 is about 364.8663500173.

The spelling of 48573728 in words is "forty-eight million, five hundred seventy-three thousand, seven hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 76 101 112 113 133 152 202 224 226 266 304 404 452 532 608 707 791 808 904 1064 1414 1582 1616 1808 1919 2128 2147 2828 3164 3232 3616 3838 4256 4294 5656 6328 7676 8588 11312 11413 12656 13433 15029 15352 17176 22624 22826 25312 26866 30058 30704 34352 45652 53732 60116 61408 68704 79891 91304 107464 120232 159782 182608 214928 216847 240464 319564 365216 429856 433694 480928 639128 867388 1278256 1517929 1734776 2556512 3035858 3469552 6071716 6939104 12143432 24286864 48573728