Search a number
-
+
44048604240 = 2432561178617
BaseRepresentation
bin101001000001100000…
…000101110001010000
311012200211012221102200
4221001200011301100
51210202420313430
632122522243200
73116364646464
oct510140056120
9135624187380
1044048604240
111775431a363
128653956500
1341cca90c84
1421bc1744a4
15122c15d460
hexa41805c50

44048604240 has 60 divisors (see below), whose sum is σ = 147929898324. Its totient is φ = 11746294272.

The previous prime is 44048604233. The next prime is 44048604247. The reversal of 44048604240 is 4240684044.

44048604240 is a `hidden beast` number, since 4 + 4 + 0 + 4 + 8 + 604 + 2 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (44048604233) and next prime (44048604247).

It can be written as a sum of positive squares in 2 ways, for example, as 12935877696 + 31112726544 = 113736^2 + 176388^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 44048604195 and 44048604204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44048604247) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 30588589 + ... + 30590028.

Almost surely, 244048604240 is an apocalyptic number.

44048604240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

44048604240 is an abundant number, since it is smaller than the sum of its proper divisors (103881294084).

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

44048604240 is a wasteful number, since it uses less digits than its factorization.

44048604240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61178636 (or 61178627 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 36.

The spelling of 44048604240 in words is "forty-four billion, forty-eight million, six hundred four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 61178617 122357234 183535851 244714468 305893085 367071702 489428936 550607553 611786170 734143404 917679255 978857872 1101215106 1223572340 1468286808 1835358510 2202430212 2447144680 2753037765 2936573616 3670717020 4404860424 4894289360 5506075530 7341434040 8809720848 11012151060 14682868080 22024302120 44048604240