Search a number
-
+
48799008 = 25322353139
BaseRepresentation
bin1011101000100…
…1110100100000
310101211020122200
42322021310200
544443032013
64501533200
71131533106
oct272116440
9111736580
1048799008
1125600465
1214414200
13a15786b
1466a3c76
15443de73
hex2e89d20

48799008 has 144 divisors (see below), whose sum is σ = 148599360. Its totient is φ = 15155712.

The previous prime is 48798983. The next prime is 48799013. The reversal of 48799008 is 80099784.

It is a tau number, because it is divible by the number of its divisors (144).

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 23 ways as a sum of consecutive naturals, for example, 351003 + ... + 351141.

It is an arithmetic number, because the mean of its divisors is an integer number (1031940).

Almost surely, 248799008 is an apocalyptic number.

48799008 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 48799008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74299680).

48799008 is an abundant number, since it is smaller than the sum of its proper divisors (99800352).

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

48799008 is a wasteful number, since it uses less digits than its factorization.

48799008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 48799008 is about 6985.6286760749. The cubic root of 48799008 is about 365.4295512045.

The spelling of 48799008 in words is "forty-eight million, seven hundred ninety-nine thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 53 69 72 92 96 106 138 139 144 159 184 207 212 276 278 288 318 368 414 417 424 477 552 556 636 736 828 834 848 954 1104 1112 1219 1251 1272 1656 1668 1696 1908 2208 2224 2438 2502 2544 3197 3312 3336 3657 3816 4448 4876 5004 5088 6394 6624 6672 7314 7367 7632 9591 9752 10008 10971 12788 13344 14628 14734 15264 19182 19504 20016 21942 22101 25576 28773 29256 29468 38364 39008 40032 43884 44202 51152 57546 58512 58936 66303 76728 87768 88404 102304 115092 117024 117872 132606 153456 169441 175536 176808 230184 235744 265212 306912 338882 351072 353616 460368 508323 530424 677764 707232 920736 1016646 1060848 1355528 1524969 2033292 2121696 2711056 3049938 4066584 5422112 6099876 8133168 12199752 16266336 24399504 48799008