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544055625 = 32543112
BaseRepresentation
bin100000011011011…
…010000101001001
31101220201220000100
4200123122011021
52103234240000
6125553000013
716324253001
oct4033320511
91356656010
10544055625
1125a118053
12132253009
138893b909
1452383001
1532b6ba00
hex206da149

544055625 has 45 divisors (see below), whose sum is σ = 985176049. Its totient is φ = 289230000.

The previous prime is 544055623. The next prime is 544055663. The reversal of 544055625 is 526550445.

The square root of 544055625 is 23325.

It is a perfect power (a square), and thus also a powerful number.

544055625 is a `hidden beast` number, since 54 + 40 + 5 + 562 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 42653961 + 501401664 = 6531^2 + 22392^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 544055625 - 21 = 544055623 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 544055625.

It is not an unprimeable number, because it can be changed into a prime (544055623) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1749220 + ... + 1749530.

Almost surely, 2544055625 is an apocalyptic number.

544055625 is the 23325-th square number.

544055625 is the 11663-rd centered octagonal number.

It is an amenable number.

544055625 is a deficient number, since it is larger than the sum of its proper divisors (441120424).

544055625 is an frugal number, since it uses more digits than its factorization.

544055625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 648 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 120000, while the sum is 36.

The cubic root of 544055625 is about 816.3588432177.

Multiplying 544055625 by its sum of digits (36), we get a square (19586002500 = 1399502).

The spelling of 544055625 in words is "five hundred forty-four million, fifty-five thousand, six hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 125 225 311 375 625 933 1125 1555 1875 2799 4665 5625 7775 13995 23325 38875 69975 96721 116625 194375 290163 349875 483605 583125 870489 1450815 1749375 2418025 4352445 7254075 12090125 21762225 36270375 60450625 108811125 181351875 544055625