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71387652 = 223737103223
BaseRepresentation
bin1000100000101…
…00101000000100
311222022212110010
410100110220010
5121233401102
611030030220
71524533160
oct420245004
9158285403
1071387652
1137329666
121baa8370
1311a3631b
1496a3ca0
156401d6c
hex4414a04

71387652 has 96 divisors (see below), whose sum is σ = 198295552. Its totient is φ = 19564416.

The previous prime is 71387651. The next prime is 71387711. The reversal of 71387652 is 25678317.

It is a self number, because there is not a number n which added to its sum of digits gives 71387652.

It is not an unprimeable number, because it can be changed into a prime (71387651) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 320013 + ... + 320235.

Almost surely, 271387652 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 71387652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99147776).

71387652 is an abundant number, since it is smaller than the sum of its proper divisors (126907900).

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

71387652 is a wasteful number, since it uses less digits than its factorization.

71387652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377 (or 375 counting only the distinct ones).

The product of its digits is 70560, while the sum is 39.

The square root of 71387652 is about 8449.1213744389. The cubic root of 71387652 is about 414.8340208176.

The spelling of 71387652 in words is "seventy-one million, three hundred eighty-seven thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 37 42 74 84 103 111 148 206 222 223 259 309 412 444 446 518 618 669 721 777 892 1036 1236 1338 1442 1554 1561 2163 2676 2884 3108 3122 3811 4326 4683 6244 7622 8251 8652 9366 11433 15244 16502 18732 22866 22969 24753 26677 33004 45732 45938 49506 53354 57757 68907 80031 91876 99012 106708 115514 137814 160062 160783 173271 231028 275628 320124 321566 346542 482349 643132 693084 849853 964698 1699706 1929396 2549559 3399412 5099118 5948971 10198236 11897942 17846913 23795884 35693826 71387652