Search a number
-
+
48235860 = 223251731549
BaseRepresentation
bin1011100000000…
…0010101010100
310100202122011100
42320000111110
544322021420
64441510100
71123666221
oct270002524
9110678140
1048235860
1125256352
12141a2330
139cbb43a
146598948
15437c190
hex2e00554

48235860 has 72 divisors (see below), whose sum is σ = 147256200. Its totient is φ = 12780288.

The previous prime is 48235849. The next prime is 48235861. The reversal of 48235860 is 6853284.

It can be written as a sum of positive squares in 4 ways, for example, as 10265616 + 37970244 = 3204^2 + 6162^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48235861) 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, 30366 + ... + 31914.

It is an arithmetic number, because the mean of its divisors is an integer number (2045225).

Almost surely, 248235860 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 48235860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73628100).

48235860 is an abundant number, since it is smaller than the sum of its proper divisors (99020340).

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

48235860 is a wasteful number, since it uses less digits than its factorization.

48235860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1737 (or 1732 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 48235860 is about 6945.2041006726. The cubic root of 48235860 is about 364.0184046565.

The spelling of 48235860 in words is "forty-eight million, two hundred thirty-five thousand, eight hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 173 180 346 519 692 865 1038 1549 1557 1730 2076 2595 3098 3114 3460 4647 5190 6196 6228 7745 7785 9294 10380 13941 15490 15570 18588 23235 27882 30980 31140 46470 55764 69705 92940 139410 267977 278820 535954 803931 1071908 1339885 1607862 2411793 2679770 3215724 4019655 4823586 5359540 8039310 9647172 12058965 16078620 24117930 48235860