Search a number
-
+
48468840 = 2335728243
BaseRepresentation
bin1011100011100…
…1001101101000
310101012110202020
42320321031220
544402000330
64450504440
71125656400
oct270711550
9111173666
1048468840
11253a53a2
1214295120
13a0704b4
146619800
1543c6210
hex2e39368

48468840 has 96 divisors (see below), whose sum is σ = 169166880. Its totient is φ = 11077248.

The previous prime is 48468839. The next prime is 48468857. The reversal of 48468840 is 4886484.

48468840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 48468792 and 48468801.

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 23 ways as a sum of consecutive naturals, for example, 1759 + ... + 10001.

It is an arithmetic number, because the mean of its divisors is an integer number (1762155).

Almost surely, 248468840 is an apocalyptic number.

48468840 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48468840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84583440).

48468840 is an abundant number, since it is smaller than the sum of its proper divisors (120698040).

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

48468840 is a wasteful number, since it uses less digits than its factorization.

48468840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8271 (or 8260 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 42.

The square root of 48468840 is about 6961.9566215253. The cubic root of 48468840 is about 364.6035352361.

The spelling of 48468840 in words is "forty-eight million, four hundred sixty-eight thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 49 56 60 70 84 98 105 120 140 147 168 196 210 245 280 294 392 420 490 588 735 840 980 1176 1470 1960 2940 5880 8243 16486 24729 32972 41215 49458 57701 65944 82430 98916 115402 123645 164860 173103 197832 230804 247290 288505 329720 346206 403907 461608 494580 577010 692412 807814 865515 989160 1154020 1211721 1384824 1615628 1731030 2019535 2308040 2423442 3231256 3462060 4039070 4846884 6058605 6924120 8078140 9693768 12117210 16156280 24234420 48468840