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75009396 = 223721111597
BaseRepresentation
bin1000111100010…
…00110101110100
312020010212112210
410132020311310
5123200300041
611235413420
71600366200
oct436106564
9166125483
1075009396
1139382740
1221154270
1312703977
149d67b00
1568ba016
hex4788d74

75009396 has 72 divisors (see below), whose sum is σ = 222124896. Its totient is φ = 19481280.

The previous prime is 75009383. The next prime is 75009427. The reversal of 75009396 is 69390057.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 670 + ... + 12266.

It is an arithmetic number, because the mean of its divisors is an integer number (3085068).

Almost surely, 275009396 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 75009396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111062448).

75009396 is an abundant number, since it is smaller than the sum of its proper divisors (147115500).

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

75009396 is a wasteful number, since it uses less digits than its factorization.

75009396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11629 (or 11620 counting only the distinct ones).

The product of its (nonzero) digits is 51030, while the sum is 39.

The square root of 75009396 is about 8660.7964991680. The cubic root of 75009396 is about 421.7339427895.

The spelling of 75009396 in words is "seventy-five million, nine thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 49 66 77 84 98 132 147 154 196 231 294 308 462 539 588 924 1078 1617 2156 3234 6468 11597 23194 34791 46388 69582 81179 127567 139164 162358 243537 255134 324716 382701 487074 510268 568253 765402 892969 974148 1136506 1530804 1704759 1785938 2273012 2678907 3409518 3571876 5357814 6250783 6819036 10715628 12501566 18752349 25003132 37504698 75009396