Search a number
-
+
55054976 = 271725301
BaseRepresentation
bin1101001000000…
…1001010000000
310211121002020012
43102001022000
5103043224401
65244004052
71235650064
oct322011200
9124532205
1055054976
1129093689
1216530628
13b538212
147451aa4
154c778bb
hex3481280

55054976 has 32 divisors (see below), whose sum is σ = 116136180. Its totient is φ = 25907200.

The previous prime is 55054973. The next prime is 55055009. The reversal of 55054976 is 67945055.

It can be written as a sum of positive squares in 2 ways, for example, as 52417600 + 2637376 = 7240^2 + 1624^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (55054973) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10475 + ... + 14826.

Almost surely, 255054976 is an apocalyptic number.

It is an amenable number.

55054976 is an abundant number, since it is smaller than the sum of its proper divisors (61081204).

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

55054976 is a wasteful number, since it uses less digits than its factorization.

55054976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25332 (or 25320 counting only the distinct ones).

The product of its (nonzero) digits is 189000, while the sum is 41.

The square root of 55054976 is about 7419.9040425062. The cubic root of 55054976 is about 380.4219136478.

The spelling of 55054976 in words is "fifty-five million, fifty-four thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 272 544 1088 2176 25301 50602 101204 202408 404816 430117 809632 860234 1619264 1720468 3238528 3440936 6881872 13763744 27527488 55054976