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71493504 = 2731941239
BaseRepresentation
bin1000100001011…
…10011110000000
311222112020122120
410100232132000
5121300243004
611032204240
71525453605
oct420563600
9158466576
1071493504
11373a1145
121bb39680
1311a72564
1496d06ac
1564233d9
hex442e780

71493504 has 128 divisors (see below), whose sum is σ = 205632000. Its totient is φ = 21934080.

The previous prime is 71493481. The next prime is 71493547. The reversal of 71493504 is 40539417.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×714935042 = 10222642228396032, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 299017 + ... + 299255.

It is an arithmetic number, because the mean of its divisors is an integer number (1606500).

Almost surely, 271493504 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 71493504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102816000).

71493504 is an abundant number, since it is smaller than the sum of its proper divisors (134138496).

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

71493504 is a wasteful number, since it uses less digits than its factorization.

71493504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 71493504 is about 8455.3831373865. The cubic root of 71493504 is about 415.0389550697.

The spelling of 71493504 in words is "seventy-one million, four hundred ninety-three thousand, five hundred four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 41 48 57 64 76 82 96 114 123 128 152 164 192 228 239 246 304 328 384 456 478 492 608 656 717 779 912 956 984 1216 1312 1434 1558 1824 1912 1968 2337 2432 2624 2868 3116 3648 3824 3936 4541 4674 5248 5736 6232 7296 7648 7872 9082 9348 9799 11472 12464 13623 15296 15744 18164 18696 19598 22944 24928 27246 29397 30592 36328 37392 39196 45888 49856 54492 58794 72656 74784 78392 91776 99712 108984 117588 145312 149568 156784 186181 217968 235176 290624 299136 313568 372362 435936 470352 558543 581248 627136 744724 871872 940704 1117086 1254272 1489448 1743744 1881408 2234172 2978896 3762816 4468344 5957792 8936688 11915584 17873376 23831168 35746752 71493504