Search a number
-
+
54342480 = 2435226427
BaseRepresentation
bin1100111101001…
…1001101010000
310210020212212110
43033103031100
5102402424410
65220425320
71226621613
oct317231520
9123225773
1054342480
1128747345
1216248240
13b348b1a
14730817a
154b86720
hex33d3350

54342480 has 40 divisors (see below), whose sum is σ = 168462432. Its totient is φ = 14491264.

The previous prime is 54342479. The next prime is 54342503. The reversal of 54342480 is 8424345.

54342480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 112974 + ... + 113453.

Almost surely, 254342480 is an apocalyptic number.

It is an amenable number.

54342480 is an abundant number, since it is smaller than the sum of its proper divisors (114119952).

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

54342480 is a wasteful number, since it uses less digits than its factorization.

54342480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226443 (or 226437 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

The square root of 54342480 is about 7371.7352095690. The cubic root of 54342480 is about 378.7737015306.

The spelling of 54342480 in words is "fifty-four million, three hundred forty-two thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 226427 452854 679281 905708 1132135 1358562 1811416 2264270 2717124 3396405 3622832 4528540 5434248 6792810 9057080 10868496 13585620 18114160 27171240 54342480