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54140409 = 32109229241
BaseRepresentation
bin1100111010000…
…1110111111001
310202212121200100
43032201313321
5102324443114
65212230013
71225120521
oct316416771
9122777610
1054140409
1128619544
121616b309
13b2a7b5b
147294681
154b46909
hex33a1df9

54140409 has 24 divisors (see below), whose sum is σ = 79593800. Its totient is φ = 35458560.

The previous prime is 54140407. The next prime is 54140473. The reversal of 54140409 is 90404145.

It can be written as a sum of positive squares in 4 ways, for example, as 32490000 + 21650409 = 5700^2 + 4653^2 .

It is not a de Polignac number, because 54140409 - 21 = 54140407 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (54140407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 224529 + ... + 224769.

Almost surely, 254140409 is an apocalyptic number.

It is an amenable number.

54140409 is a deficient number, since it is larger than the sum of its proper divisors (25453391).

54140409 is a wasteful number, since it uses less digits than its factorization.

54140409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 585 (or 582 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 54140409 is about 7358.0166485270. The cubic root of 54140409 is about 378.3036319110.

It can be divided in two parts, 5 and 4140409, that added together give a palindrome (4140414).

The spelling of 54140409 in words is "fifty-four million, one hundred forty thousand, four hundred nine".

Divisors: 1 3 9 109 229 241 327 687 723 981 2061 2169 24961 26269 55189 74883 78807 165567 224649 236421 496701 6015601 18046803 54140409