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71912568 = 233713191733
BaseRepresentation
bin1000100100101…
…00110001111000
312000022112111110
410102110301320
5121402200233
611045200320
71532150430
oct422246170
9160275443
1071912568
1137657a82
12201000a0
1311b8b220
14979d2c0
1564a7663
hex4494c78

71912568 has 128 divisors (see below), whose sum is σ = 233049600. Its totient is φ = 17957376.

The previous prime is 71912557. The next prime is 71912569. The reversal of 71912568 is 86521917.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71912569) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40630 + ... + 42362.

It is an arithmetic number, because the mean of its divisors is an integer number (1820700).

Almost surely, 271912568 is an apocalyptic number.

71912568 is a gapful number since it is divisible by the number (78) 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 71912568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116524800).

71912568 is an abundant number, since it is smaller than the sum of its proper divisors (161137032).

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

71912568 is a wasteful number, since it uses less digits than its factorization.

71912568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1781 (or 1777 counting only the distinct ones).

The product of its digits is 30240, while the sum is 39.

The square root of 71912568 is about 8480.1278292252. The cubic root of 71912568 is about 415.8483020606.

The spelling of 71912568 in words is "seventy-one million, nine hundred twelve thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 13 14 19 21 24 26 28 38 39 42 52 56 57 76 78 84 91 104 114 133 152 156 168 182 228 247 266 273 312 364 399 456 494 532 546 728 741 798 988 1064 1092 1482 1596 1729 1733 1976 2184 2964 3192 3458 3466 5187 5199 5928 6916 6932 10374 10398 12131 13832 13864 20748 20796 22529 24262 32927 36393 41496 41592 45058 48524 65854 67587 72786 90116 97048 98781 131708 135174 145572 157703 180232 197562 230489 263416 270348 291144 315406 395124 428051 460978 473109 540696 630812 691467 790248 856102 921956 946218 1261624 1284153 1382934 1712204 1843912 1892436 2568306 2765868 2996357 3424408 3784872 5136612 5531736 5992714 8989071 10273224 11985428 17978142 23970856 35956284 71912568