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675060576 = 25319536983
BaseRepresentation
bin101000001111001…
…001101101100000
31202001020122000120
4220033021231200
52340303414301
6150552520240
722504630431
oct5017115540
91661218016
10675060576
11317066003
1216a0b0080
13a9b19938
1465925488
153e3e7e36
hex283c9b60

675060576 has 96 divisors (see below), whose sum is σ = 1900765440. Its totient is φ = 209124864.

The previous prime is 675060571. The next prime is 675060583.

675060576 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (675060571) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 93181 + ... + 100163.

It is an arithmetic number, because the mean of its divisors is an integer number (19799640).

Almost surely, 2675060576 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 675060576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (950382720).

675060576 is an abundant number, since it is smaller than the sum of its proper divisors (1225704864).

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

675060576 is a wasteful number, since it uses less digits than its factorization.

675060576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7068 (or 7060 counting only the distinct ones).

The product of its (nonzero) digits is 264600, while the sum is 42.

The square root of 675060576 is about 25981.9278730428. The cubic root of 675060576 is about 877.2315614639.

The spelling of 675060576 in words is "six hundred seventy-five million, sixty thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 53 57 76 96 106 114 152 159 212 228 304 318 424 456 608 636 848 912 1007 1272 1696 1824 2014 2544 3021 4028 5088 6042 6983 8056 12084 13966 16112 20949 24168 27932 32224 41898 48336 55864 83796 96672 111728 132677 167592 223456 265354 335184 370099 398031 530708 670368 740198 796062 1061416 1110297 1480396 1592124 2122832 2220594 2960792 3184248 4245664 4441188 5921584 6368496 7031881 8882376 11843168 12736992 14063762 17764752 21095643 28127524 35529504 42191286 56255048 84382572 112510096 168765144 225020192 337530288 675060576