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48408850440 = 23325229587201
BaseRepresentation
bin101101000101011001…
…000111000000001000
311121221200210101202200
4231011121013000020
51243120131203230
634123321400200
73332421303516
oct550531070010
9147850711680
1048408850440
1119591596915
129470039060
134746215502
1424b32a14b6
1513d4d43160
hexb45647008

48408850440 has 96 divisors (see below), whose sum is σ = 158016058200. Its totient is φ = 12852633600.

The previous prime is 48408850411. The next prime is 48408850471. The reversal of 48408850440 is 4405880484.

48408850440 is a `hidden beast` number, since 4 + 84 + 0 + 88 + 50 + 440 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 48147769476 + 261080964 = 219426^2 + 16158^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 211161 + ... + 376040.

Almost surely, 248408850440 is an apocalyptic number.

48408850440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

48408850440 is an abundant number, since it is smaller than the sum of its proper divisors (109607207760).

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

48408850440 is a wasteful number, since it uses less digits than its factorization.

48408850440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 587447 (or 587440 counting only the distinct ones).

The product of its (nonzero) digits is 655360, while the sum is 45.

The spelling of 48408850440 in words is "forty-eight billion, four hundred eight million, eight hundred fifty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 229 360 458 687 916 1145 1374 1832 2061 2290 2748 3435 4122 4580 5496 6870 8244 9160 10305 13740 16488 20610 27480 41220 82440 587201 1174402 1761603 2348804 2936005 3523206 4697608 5284809 5872010 7046412 8808015 10569618 11744020 14092824 17616030 21139236 23488040 26424045 35232060 42278472 52848090 70464120 105696180 134469029 211392360 268938058 403407087 537876116 672345145 806814174 1075752232 1210221261 1344690290 1613628348 2017035435 2420442522 2689380580 3227256696 4034070870 4840885044 5378761160 6051106305 8068141740 9681770088 12102212610 16136283480 24204425220 48408850440