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55738431 = 3272971303
BaseRepresentation
bin1101010010100…
…0000000111111
310212212210202100
43110220000333
5103232112211
65310400143
71244524500
oct324500077
9125783670
1055738431
1129510121
1216800053
13b717328
14758cba7
154d60156
hex352803f

55738431 has 36 divisors (see below), whose sum is σ = 94693872. Its totient is φ = 31497984.

The previous prime is 55738409. The next prime is 55738447. The reversal of 55738431 is 13483755.

55738431 is a `hidden beast` number, since 5 + 573 + 84 + 3 + 1 = 666.

It is not a de Polignac number, because 55738431 - 25 = 55738399 is a prime.

It is a super-2 number, since 2×557384312 = 6213545380683522, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55738451) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 42126 + ... + 43428.

Almost surely, 255738431 is an apocalyptic number.

55738431 is a deficient number, since it is larger than the sum of its proper divisors (38955441).

55738431 is a wasteful number, since it uses less digits than its factorization.

55738431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1420 (or 1410 counting only the distinct ones).

The product of its digits is 50400, while the sum is 36.

The square root of 55738431 is about 7465.8175037969. The cubic root of 55738431 is about 381.9896358764.

It can be divided in two parts, 55738 and 431, that added together give a square (56169 = 2372).

The spelling of 55738431 in words is "fifty-five million, seven hundred thirty-eight thousand, four hundred thirty-one".

Divisors: 1 3 7 9 21 49 63 97 147 291 441 679 873 1303 2037 3909 4753 6111 9121 11727 14259 27363 42777 63847 82089 126391 191541 379173 574623 884737 1137519 2654211 6193159 7962633 18579477 55738431