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553953141 = 3372930969
BaseRepresentation
bin100001000001001…
…010011101110101
31102121100201212000
4201001022131311
52113303000031
6130545045513
716504344510
oct4101123565
91377321760
10553953141
11264768215
12135626899
138a9c5931
14537dbd77
15339743e6
hex2104a775

553953141 has 16 divisors (see below), whose sum is σ = 937910400. Its totient is φ = 316544544.

The previous prime is 553953131. The next prime is 553953161. The reversal of 553953141 is 141359355.

It is a happy number.

553953141 is a `hidden beast` number, since 55 + 39 + 531 + 41 = 666.

It is not a de Polignac number, because 553953141 - 29 = 553952629 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 553953096 and 553953105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (553953131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1465296 + ... + 1465673.

It is an arithmetic number, because the mean of its divisors is an integer number (58619400).

Almost surely, 2553953141 is an apocalyptic number.

It is an amenable number.

553953141 is a deficient number, since it is larger than the sum of its proper divisors (383957259).

553953141 is a wasteful number, since it uses less digits than its factorization.

553953141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2930985 (or 2930979 counting only the distinct ones).

The product of its digits is 40500, while the sum is 36.

The square root of 553953141 is about 23536.2091467594. The cubic root of 553953141 is about 821.2795514897.

The spelling of 553953141 in words is "five hundred fifty-three million, nine hundred fifty-three thousand, one hundred forty-one".

Divisors: 1 3 7 9 21 27 63 189 2930969 8792907 20516783 26378721 61550349 79136163 184651047 553953141