Search a number
-
+
55979460 = 22325310997
BaseRepresentation
bin1101010110001…
…0110111000100
310220100001101100
43111202313010
5103312320320
65315500100
71246550265
oct325426704
9126301340
1055979460
1129665219
12168b7630
13b79cc54
14761296c
154dab790
hex3562dc4

55979460 has 36 divisors (see below), whose sum is σ = 169804908. Its totient is φ = 14927808.

The previous prime is 55979431. The next prime is 55979461. The reversal of 55979460 is 6497955.

It is a happy number.

55979460 is a `hidden beast` number, since 559 + 7 + 94 + 6 + 0 = 666.

55979460 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 37161216 + 18818244 = 6096^2 + 4338^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55979461) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 155319 + ... + 155678.

It is an arithmetic number, because the mean of its divisors is an integer number (4716803).

Almost surely, 255979460 is an apocalyptic number.

It is an amenable number.

55979460 is an abundant number, since it is smaller than the sum of its proper divisors (113825448).

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

55979460 is a wasteful number, since it uses less digits than its factorization.

55979460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311012 (or 311007 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The square root of 55979460 is about 7481.9422612046. The cubic root of 55979460 is about 382.5394551124.

The spelling of 55979460 in words is "fifty-five million, nine hundred seventy-nine thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 310997 621994 932991 1243988 1554985 1865982 2798973 3109970 3731964 4664955 5597946 6219940 9329910 11195892 13994865 18659820 27989730 55979460