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71486064 = 2434134243
BaseRepresentation
bin1000100001011…
…00101001110000
311222111212110000
410100230221300
5121300023224
611032110000
71525423116
oct420545160
9158455400
1071486064
11373965a1
121bb35300
1311a6c060
1496cbab6
1564210c9
hex442ca70

71486064 has 100 divisors (see below), whose sum is σ = 222869416. Its totient is φ = 21990528.

The previous prime is 71486039. The next prime is 71486069. The reversal of 71486064 is 46068417.

71486064 is a `hidden beast` number, since 7 + 1 + 48 + 606 + 4 = 666.

It is a super-2 number, since 2×714860642 = 10220514692424192, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71486069) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 14727 + ... + 18969.

Almost surely, 271486064 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 71486064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111434708).

71486064 is an abundant number, since it is smaller than the sum of its proper divisors (151383352).

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

71486064 is a wasteful number, since it uses less digits than its factorization.

71486064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4276 (or 4261 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 71486064 is about 8454.9431695311. The cubic root of 71486064 is about 415.0245575055.

The spelling of 71486064 in words is "seventy-one million, four hundred eighty-six thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 81 104 108 117 144 156 162 208 216 234 312 324 351 432 468 624 648 702 936 1053 1296 1404 1872 2106 2808 4212 4243 5616 8424 8486 12729 16848 16972 25458 33944 38187 50916 55159 67888 76374 101832 110318 114561 152748 165477 203664 220636 229122 305496 330954 343683 441272 458244 496431 610992 661908 687366 882544 916488 992862 1323816 1374732 1489293 1832976 1985724 2647632 2749464 2978586 3971448 4467879 5498928 5957172 7942896 8935758 11914344 17871516 23828688 35743032 71486064