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75328974 = 2337583
BaseRepresentation
bin1000111110101…
…10110111001110
312020202002221000
410133112313032
5123241011344
611250321130
71603200000
oct437266716
9166662830
1075328974
1139580856
12212891a6
13127b6276
14a00c370
15692ea69
hex47d6dce

75328974 has 96 divisors (see below), whose sum is σ = 197648640. Its totient is φ = 21263256.

The previous prime is 75328973. The next prime is 75328987. The reversal of 75328974 is 47982357.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75328973) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 907537 + ... + 907619.

It is an arithmetic number, because the mean of its divisors is an integer number (2058840).

Almost surely, 275328974 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75328974, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98824320).

75328974 is an abundant number, since it is smaller than the sum of its proper divisors (122319666).

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

75328974 is an frugal number, since it uses more digits than its factorization.

75328974 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 95 counting only the distinct ones).

The product of its digits is 423360, while the sum is 45.

The square root of 75328974 is about 8679.2265784458. The cubic root of 75328974 is about 422.3320275762.

The spelling of 75328974 in words is "seventy-five million, three hundred twenty-eight thousand, nine hundred seventy-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 83 98 126 147 166 189 249 294 343 378 441 498 581 686 747 882 1029 1162 1323 1494 1743 2058 2241 2401 2646 3087 3486 4067 4482 4802 5229 6174 7203 8134 9261 10458 12201 14406 15687 16807 18522 21609 24402 28469 31374 33614 36603 43218 50421 56938 64827 73206 85407 100842 109809 129654 151263 170814 199283 219618 256221 302526 398566 453789 512442 597849 768663 907578 1195698 1394981 1537326 1793547 2789962 3587094 4184943 5380641 8369886 10761282 12554829 25109658 37664487 75328974