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71378253 = 344121493
BaseRepresentation
bin1000100000100…
…10010101001101
311222022101120000
410100102111031
5121233101003
611025514513
71524463602
oct420222515
9158271500
1071378253
11373225a1
121baa2a39
1311a31c6b
1496a06a9
1563ee1a3
hex441254d

71378253 has 20 divisors (see below), whose sum is σ = 109232508. Its totient is φ = 46422720.

The previous prime is 71378239. The next prime is 71378297. The reversal of 71378253 is 35287317.

It can be written as a sum of positive squares in 2 ways, for example, as 4743684 + 66634569 = 2178^2 + 8163^2 .

It is not a de Polignac number, because 71378253 - 212 = 71374157 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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (71378353) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7426 + ... + 14067.

Almost surely, 271378253 is an apocalyptic number.

It is an amenable number.

71378253 is a deficient number, since it is larger than the sum of its proper divisors (37854255).

71378253 is a wasteful number, since it uses less digits than its factorization.

71378253 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21546 (or 21537 counting only the distinct ones).

The product of its digits is 35280, while the sum is 36.

The square root of 71378253 is about 8448.5651444491. The cubic root of 71378253 is about 414.8158141391.

It can be divided in two parts, 71378 and 253, that added together give a triangular number (71631 = T378).

The spelling of 71378253 in words is "seventy-one million, three hundred seventy-eight thousand, two hundred fifty-three".

Divisors: 1 3 9 27 41 81 123 369 1107 3321 21493 64479 193437 580311 881213 1740933 2643639 7930917 23792751 71378253