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71393544 = 2332532353
BaseRepresentation
bin1000100000101…
…10000100001000
311222100011112100
410100112010020
5121234043134
611030113400
71524556305
oct420260410
9158304470
1071393544
1137333032
121baab860
1311a38c01
1496a60ac
156403999
hex4416108

71393544 has 72 divisors (see below), whose sum is σ = 197632890. Its totient is φ = 23282688.

The previous prime is 71393537. The next prime is 71393551. The reversal of 71393544 is 44539317.

It is an interprime number because it is at equal distance from previous prime (71393537) and next prime (71393551).

It can be written as a sum of positive squares in 3 ways, for example, as 68260644 + 3132900 = 8262^2 + 1770^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 71393499 and 71393508.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 202072 + ... + 202424.

Almost surely, 271393544 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 71393544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98816445).

71393544 is an abundant number, since it is smaller than the sum of its proper divisors (126239346).

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

71393544 is a wasteful number, since it uses less digits than its factorization.

71393544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471 (or 411 counting only the distinct ones).

The product of its digits is 45360, while the sum is 36.

The square root of 71393544 is about 8449.4700425530. The cubic root of 71393544 is about 414.8454333180.

The spelling of 71393544 in words is "seventy-one million, three hundred ninety-three thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 53 72 106 159 212 318 353 424 477 636 706 954 1059 1272 1412 1908 2118 2809 2824 3177 3816 4236 5618 6354 8427 8472 11236 12708 16854 18709 22472 25281 25416 33708 37418 50562 56127 67416 74836 101124 112254 149672 168381 202248 224508 336762 449016 673524 991577 1347048 1983154 2974731 3966308 5949462 7932616 8924193 11898924 17848386 23797848 35696772 71393544