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55280961 = 345379163
BaseRepresentation
bin1101001011100…
…0010101000001
310212000120020000
43102320111001
5103122442321
65252510213
71240610661
oct322702501
9125016200
1055280961
112922844a
121661b369
13b5b7038
1474b01a1
154cbe826
hex34b8541

55280961 has 40 divisors (see below), whose sum is σ = 85726080. Its totient is φ = 35481888.

The previous prime is 55280947. The next prime is 55280969. The reversal of 55280961 is 16908255.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2k-55280961 is a prime.

It is not an unprimeable number, because it can be changed into a prime (55280969) 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 39 ways as a sum of consecutive naturals, for example, 339066 + ... + 339228.

It is an arithmetic number, because the mean of its divisors is an integer number (2143152).

Almost surely, 255280961 is an apocalyptic number.

55280961 is the 4293-rd octagonal number.

It is an amenable number.

55280961 is a deficient number, since it is larger than the sum of its proper divisors (30445119).

55280961 is a wasteful number, since it uses less digits than its factorization.

55280961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 55280961 is about 7435.1167442079. The cubic root of 55280961 is about 380.9417109663.

The spelling of 55280961 in words is "fifty-five million, two hundred eighty thousand, nine hundred sixty-one".

Divisors: 1 3 9 27 53 79 81 159 163 237 477 489 711 1431 1467 2133 4187 4293 4401 6399 8639 12561 12877 13203 25917 37683 38631 77751 113049 115893 233253 339147 347679 682481 699759 1043037 2047443 6142329 18426987 55280961