Search a number
-
+
48801216 = 2632343257
BaseRepresentation
bin1011101000101…
…0010111000000
310101211100200110
42322022113000
544443114331
64501551320
71131542412
oct272122700
9111740613
1048801216
1125602092
1214415540
13a158879
1466a49b2
15443e946
hex2e8a5c0

48801216 has 112 divisors (see below), whose sum is σ = 138403584. Its totient is φ = 15138816.

The previous prime is 48801209. The next prime is 48801227. The reversal of 48801216 is 61210884.

It is a congruent 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, 189760 + ... + 190016.

Almost surely, 248801216 is an apocalyptic number.

48801216 is a gapful number since it is divisible by the number (46) 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 48801216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69201792).

48801216 is an abundant number, since it is smaller than the sum of its proper divisors (89602368).

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

48801216 is a wasteful number, since it uses less digits than its factorization.

48801216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The square root of 48801216 is about 6985.7867130338. The cubic root of 48801216 is about 365.4350626299.

The spelling of 48801216 in words is "forty-eight million, eight hundred one thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 43 46 48 64 69 86 92 96 129 138 172 184 192 257 258 276 344 368 514 516 552 688 736 771 989 1028 1032 1104 1376 1472 1542 1978 2056 2064 2208 2752 2967 3084 3956 4112 4128 4416 5911 5934 6168 7912 8224 8256 11051 11822 11868 12336 15824 16448 17733 22102 23644 23736 24672 31648 33153 35466 44204 47288 47472 49344 63296 66306 70932 88408 94576 94944 132612 141864 176816 189152 189888 254173 265224 283728 353632 378304 508346 530448 567456 707264 762519 1016692 1060896 1134912 1525038 2033384 2121792 3050076 4066768 6100152 8133536 12200304 16267072 24400608 48801216