Search a number
-
+
55743840 = 2532538711
BaseRepresentation
bin1101010010100…
…1010101100000
310212220002011200
43110221111200
5103232300330
65310441200
71244546325
oct324512540
9125802150
1055743840
1129514199
1216803200
13b719929
147590b4c
154d61a60
hex3529560

55743840 has 72 divisors (see below), whose sum is σ = 190230768. Its totient is φ = 14864640.

The previous prime is 55743839. The next prime is 55743841. The reversal of 55743840 is 4834755.

55743840 is a `hidden beast` number, since 5 + 574 + 3 + 84 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (55743839) and next prime (55743841).

It is a tau number, because it is divible by the number of its divisors (72).

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 = 55743795 and 55743804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55743841) 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, 17916 + ... + 20795.

It is an arithmetic number, because the mean of its divisors is an integer number (2642094).

Almost surely, 255743840 is an apocalyptic number.

It is an amenable number.

55743840 is an abundant number, since it is smaller than the sum of its proper divisors (134486928).

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

55743840 is a wasteful number, since it uses less digits than its factorization.

55743840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38732 (or 38721 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 55743840 is about 7466.1797460281. The cubic root of 55743840 is about 382.0019918941.

The spelling of 55743840 in words is "fifty-five million, seven hundred forty-three thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 38711 77422 116133 154844 193555 232266 309688 348399 387110 464532 580665 619376 696798 774220 929064 1161330 1238752 1393596 1548440 1741995 1858128 2322660 2787192 3096880 3483990 3716256 4645320 5574384 6193760 6967980 9290640 11148768 13935960 18581280 27871920 55743840