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48684480240 = 24351118441091
BaseRepresentation
bin101101010101110100…
…100011011011110000
311122122220102211202210
4231111310203123300
51244201211331430
634210525212120
73342306153114
oct552564433360
9148586384683
1048684480240
1119713135640
129528401040
13478b35c976
1424dbb2d744
1513ee13b2b0
hexb55d236f0

48684480240 has 80 divisors (see below), whose sum is σ = 164642069376. Its totient is φ = 11802297600.

The previous prime is 48684480223. The next prime is 48684480241. The reversal of 48684480240 is 4208448684.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 48684480240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48684480241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9217906 + ... + 9223185.

Almost surely, 248684480240 is an apocalyptic number.

48684480240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

48684480240 is an abundant number, since it is smaller than the sum of its proper divisors (115957589136).

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

48684480240 is a wasteful number, since it uses less digits than its factorization.

48684480240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18441118 (or 18441112 counting only the distinct ones).

The product of its (nonzero) digits is 1572864, while the sum is 48.

The spelling of 48684480240 in words is "forty-eight billion, six hundred eighty-four million, four hundred eighty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2640 18441091 36882182 55323273 73764364 92205455 110646546 147528728 184410910 202852001 221293092 276616365 295057456 368821820 405704002 442586184 553232730 608556003 737643640 811408004 885172368 1014260005 1106465460 1217112006 1475287280 1622816008 2028520010 2212930920 2434224012 3042780015 3245632016 4057040020 4425861840 4868448024 6085560030 8114080040 9736896048 12171120060 16228160080 24342240120 48684480240