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55058480 = 245311492
BaseRepresentation
bin1101001000001…
…0000000110000
310211121021000222
43102002000300
5103043332410
65244032212
71235663231
oct322020060
9124537028
1055058480
1129096284
1216532668
13b5399a9
147453088
154c78955
hex3482030

55058480 has 60 divisors (see below), whose sum is σ = 133033152. Its totient is φ = 21169920.

The previous prime is 55058453. The next prime is 55058483. The reversal of 55058480 is 8485055.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 55058480.

It is not an unprimeable number, because it can be changed into a prime (55058483) 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 11 ways as a sum of consecutive naturals, for example, 369446 + ... + 369594.

Almost surely, 255058480 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55058480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66516576).

55058480 is an abundant number, since it is smaller than the sum of its proper divisors (77974672).

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

55058480 is a wasteful number, since it uses less digits than its factorization.

55058480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 32000, while the sum is 35.

The square root of 55058480 is about 7420.1401604013. The cubic root of 55058480 is about 380.4299841875.

The spelling of 55058480 in words is "fifty-five million, fifty-eight thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 31 40 62 80 124 149 155 248 298 310 496 596 620 745 1192 1240 1490 2384 2480 2980 4619 5960 9238 11920 18476 22201 23095 36952 44402 46190 73904 88804 92380 111005 177608 184760 222010 355216 369520 444020 688231 888040 1376462 1776080 2752924 3441155 5505848 6882310 11011696 13764620 27529240 55058480