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71047144 = 23771107167
BaseRepresentation
bin1000011110000…
…01011111101000
311221200120100201
410033001133220
5121142002034
611014441544
71521614350
oct417013750
9157616321
1071047144
1137116853
121b9632b4
131194733c
149615b60
156386014
hex43c17e8

71047144 has 64 divisors (see below), whose sum is σ = 156764160. Its totient is φ = 29561280.

The previous prime is 71047139. The next prime is 71047147. The reversal of 71047144 is 44174017.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (71047147) 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, 425349 + ... + 425515.

It is an arithmetic number, because the mean of its divisors is an integer number (2449440).

Almost surely, 271047144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71047144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78382080).

71047144 is an abundant number, since it is smaller than the sum of its proper divisors (85717016).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

71047144 is a wasteful number, since it uses less digits than its factorization.

71047144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 28.

The square root of 71047144 is about 8428.9467906732. The cubic root of 71047144 is about 414.1734047641.

The spelling of 71047144 in words is "seventy-one million, forty-seven thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 28 56 71 107 142 167 214 284 334 428 497 568 668 749 856 994 1169 1336 1498 1988 2338 2996 3976 4676 5992 7597 9352 11857 15194 17869 23714 30388 35738 47428 53179 60776 71476 82999 94856 106358 125083 142952 165998 212716 250166 331996 425432 500332 663992 1000664 1268699 2537398 5074796 8880893 10149592 17761786 35523572 71047144