Search a number
-
+
48634820 = 22513214389
BaseRepresentation
bin1011100110000…
…1101111000100
310101111220102122
42321201233010
544422303240
64454225112
71130250323
oct271415704
9111456378
1048634820
11254a9073
1214355198
13a0cac00
1466600ba
15440a4b5
hex2e61bc4

48634820 has 36 divisors (see below), whose sum is σ = 110601540. Its totient is φ = 17956224.

The previous prime is 48634793. The next prime is 48634847. The reversal of 48634820 is 2843684.

48634820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (48634793) and next prime (48634847).

It can be written as a sum of positive squares in 6 ways, for example, as 14318656 + 34316164 = 3784^2 + 5858^2 .

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 11 ways as a sum of consecutive naturals, for example, 3815 + ... + 10574.

It is an arithmetic number, because the mean of its divisors is an integer number (3072265).

Almost surely, 248634820 is an apocalyptic number.

It is an amenable number.

48634820 is an abundant number, since it is smaller than the sum of its proper divisors (61966720).

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

48634820 is a wasteful number, since it uses less digits than its factorization.

48634820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14424 (or 14409 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 35.

The square root of 48634820 is about 6973.8669330580. The cubic root of 48634820 is about 365.0192521277.

The spelling of 48634820 in words is "forty-eight million, six hundred thirty-four thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 169 260 338 676 845 1690 3380 14389 28778 57556 71945 143890 187057 287780 374114 748228 935285 1870570 2431741 3741140 4863482 9726964 12158705 24317410 48634820