Search a number
-
+
48084044000 = 255361719483
BaseRepresentation
bin101100110010000010…
…000100100011100000
311121010001121112002112
4230302002010203200
51241434003402000
634031155534452
73321365426126
oct546202044340
9147101545075
1048084044000
1119435209a43
12939b2ba428
1346c3b40655
1424820b1916
1513b6584235
hexb320848e0

48084044000 has 96 divisors (see below), whose sum is σ = 118340048736. Its totient is φ = 19201459200.

The previous prime is 48084043999. The next prime is 48084044011. The reversal of 48084044000 is 44048084.

It is a happy number.

It is a super-3 number, since 3×480840440003 (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2458259 + ... + 2477741.

It is an arithmetic number, because the mean of its divisors is an integer number (1232708841).

Almost surely, 248084044000 is an apocalyptic number.

48084044000 is a gapful number since it is divisible by the number (40) 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 48084044000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59170024368).

48084044000 is an abundant number, since it is smaller than the sum of its proper divisors (70256004736).

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

48084044000 is a wasteful number, since it uses less digits than its factorization.

48084044000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20125 (or 20107 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 32.

The spelling of 48084044000 in words is "forty-eight billion, eighty-four million, forty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 617 800 1000 1234 2000 2468 3085 4000 4936 6170 9872 12340 15425 19483 19744 24680 30850 38966 49360 61700 77125 77932 97415 98720 123400 154250 155864 194830 246800 308500 311728 389660 487075 493600 617000 623456 779320 974150 1234000 1558640 1948300 2435375 2468000 3117280 3896600 4870750 7793200 9741500 12021011 15586400 19483000 24042022 38966000 48084044 60105055 77932000 96168088 120210110 192336176 240420220 300525275 384672352 480840440 601050550 961680880 1202101100 1502626375 1923361760 2404202200 3005252750 4808404400 6010505500 9616808800 12021011000 24042022000 48084044000