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71445312 = 2632711747
BaseRepresentation
bin1000100001000…
…10101101000000
311222102210112200
410100202231000
5121242222222
611031153200
71525163241
oct420425500
9158383480
1071445312
1137368a14
121bb15800
1311a56643
1496bacc8
156413eac
hex4422b40

71445312 has 84 divisors (see below), whose sum is σ = 207788256. Its totient is φ = 23466240.

The previous prime is 71445307. The next prime is 71445371. The reversal of 71445312 is 21354417.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 40023 + ... + 41769.

Almost surely, 271445312 is an apocalyptic number.

71445312 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71445312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103894128).

71445312 is an abundant number, since it is smaller than the sum of its proper divisors (136342944).

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

71445312 is a wasteful number, since it uses less digits than its factorization.

71445312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1836 (or 1823 counting only the distinct ones).

The product of its digits is 3360, while the sum is 27.

The square root of 71445312 is about 8452.5328748252. The cubic root of 71445312 is about 414.9456782820.

Adding to 71445312 its reverse (21354417), we get a palindrome (92799729).

The spelling of 71445312 in words is "seventy-one million, four hundred forty-five thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 71 72 96 142 144 192 213 284 288 426 568 576 639 852 1136 1278 1704 1747 2272 2556 3408 3494 4544 5112 5241 6816 6988 10224 10482 13632 13976 15723 20448 20964 27952 31446 40896 41928 55904 62892 83856 111808 124037 125784 167712 248074 251568 335424 372111 496148 503136 744222 992296 1006272 1116333 1488444 1984592 2232666 2976888 3969184 4465332 5953776 7938368 8930664 11907552 17861328 23815104 35722656 71445312