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55466000 = 245327733
BaseRepresentation
bin1101001110010…
…1100000010000
310212100222001022
43103211200100
5103144403000
65300455012
71242311312
oct323454020
9125328038
1055466000
1129344477
12166aa468
13b650325
14751b7b2
154d09585
hex34e5810

55466000 has 40 divisors (see below), whose sum is σ = 134121624. Its totient is φ = 22185600.

The previous prime is 55465987. The next prime is 55466023. The reversal of 55466000 is 66455.

It can be written as a sum of positive squares in 4 ways, for example, as 7246864 + 48219136 = 2692^2 + 6944^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11867 + ... + 15866.

Almost surely, 255466000 is an apocalyptic number.

55466000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

55466000 is an abundant number, since it is smaller than the sum of its proper divisors (78655624).

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

55466000 is a wasteful number, since it uses less digits than its factorization.

55466000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27756 (or 27740 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 26.

The square root of 55466000 is about 7447.5499326960. The cubic root of 55466000 is about 381.3662728758.

The spelling of 55466000 in words is "fifty-five million, four hundred sixty-six thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 27733 55466 110932 138665 221864 277330 443728 554660 693325 1109320 1386650 2218640 2773300 3466625 5546600 6933250 11093200 13866500 27733000 55466000