Search a number
-
+
48489408 = 2633112551
BaseRepresentation
bin1011100011111…
…0001111000000
310101020111222000
42320332033000
544403130113
64451144000
71126103352
oct270761700
9111214860
1048489408
11254098a0
12142a5000
13a079976
1466230d2
1543cc373
hex2e3e3c0

48489408 has 112 divisors (see below), whose sum is σ = 155569920. Its totient is φ = 14688000.

The previous prime is 48489407. The next prime is 48489409. The reversal of 48489408 is 80498484.

48489408 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 (48489407) and next prime (48489409).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48489401) by changing a digit.

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, 17733 + ... + 20283.

Almost surely, 248489408 is an apocalyptic number.

48489408 is a gapful number since it is divisible by the number (48) 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 48489408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77784960).

48489408 is an abundant number, since it is smaller than the sum of its proper divisors (107080512).

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

48489408 is a wasteful number, since it uses less digits than its factorization.

48489408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2583 (or 2567 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The square root of 48489408 is about 6963.4336357863. The cubic root of 48489408 is about 364.6551017339.

The spelling of 48489408 in words is "forty-eight million, four hundred eighty-nine thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 88 96 99 108 132 144 176 192 198 216 264 288 297 352 396 432 528 576 594 704 792 864 1056 1188 1584 1728 2112 2376 2551 3168 4752 5102 6336 7653 9504 10204 15306 19008 20408 22959 28061 30612 40816 45918 56122 61224 68877 81632 84183 91836 112244 122448 137754 163264 168366 183672 224488 244896 252549 275508 336732 367344 448976 489792 505098 551016 673464 734688 757647 897952 1010196 1102032 1346928 1469376 1515294 1795904 2020392 2204064 2693856 3030588 4040784 4408128 5387712 6061176 8081568 12122352 16163136 24244704 48489408