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55055556 = 22323741333
BaseRepresentation
bin1101001000000…
…1010011000100
310211121010000200
43102001103010
5103043234211
65244010500
71235651553
oct322012304
9124533020
1055055556
1129094066
1216530a30
13b53856a
147451d9a
154c77b56
hex34814c4

55055556 has 36 divisors (see below), whose sum is σ = 142932972. Its totient is φ = 17855424.

The previous prime is 55055479. The next prime is 55055569. The reversal of 55055556 is 65555055.

55055556 is a `hidden beast` number, since 5 + 50 + 55 + 556 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 50893956 + 4161600 = 7134^2 + 2040^2 .

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

It is a super-2 number, since 2×550555562 = 6062228492938272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 55055556.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19335 + ... + 21998.

Almost surely, 255055556 is an apocalyptic number.

It is an amenable number.

55055556 is an abundant number, since it is smaller than the sum of its proper divisors (87877416).

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

55055556 is a wasteful number, since it uses less digits than its factorization.

55055556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41380 (or 41375 counting only the distinct ones).

The product of its (nonzero) digits is 93750, while the sum is 36.

The square root of 55055556 is about 7419.9431264667. The cubic root of 55055556 is about 380.4232495484.

It can be divided in two parts, 55055 and 556, that added together give a triangular number (55611 = T333).

The spelling of 55055556 in words is "fifty-five million, fifty-five thousand, five hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 666 1332 41333 82666 123999 165332 247998 371997 495996 743994 1487988 1529321 3058642 4587963 6117284 9175926 13763889 18351852 27527778 55055556