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5348546892 = 22321319837247
BaseRepresentation
bin1001111101100110…
…00101100101001100
3111210202020100000100
410332303011211030
541423212000032
62242421531100
7246353620113
oct47663054514
914722210010
105348546892
1122a512a497
121053273a90
13673126560
1438a4b0c7a
1521485497c
hex13ecc594c

5348546892 has 144 divisors (see below), whose sum is σ = 15513039360. Its totient is φ = 1540093824.

The previous prime is 5348546881. The next prime is 5348546893. The reversal of 5348546892 is 2986458435.

5348546892 is a `hidden beast` number, since 5 + 3 + 4 + 8 + 546 + 8 + 92 = 666.

It is not an unprimeable number, because it can be changed into a prime (5348546893) 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, 734413 + ... + 741659.

It is an arithmetic number, because the mean of its divisors is an integer number (107729440).

Almost surely, 25348546892 is an apocalyptic number.

5348546892 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5348546892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7756519680).

5348546892 is an abundant number, since it is smaller than the sum of its proper divisors (10164492468).

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

5348546892 is a wasteful number, since it uses less digits than its factorization.

5348546892 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7372 (or 7367 counting only the distinct ones).

The product of its digits is 8294400, while the sum is 54.

The square root of 5348546892 is about 73133.7602752655. The cubic root of 5348546892 is about 1748.8206358004.

The spelling of 5348546892 in words is "five billion, three hundred forty-eight million, five hundred forty-six thousand, eight hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 13 18 19 26 36 38 39 52 57 76 78 83 114 117 156 166 171 228 234 247 249 332 342 468 494 498 684 741 747 988 996 1079 1482 1494 1577 2158 2223 2964 2988 3154 3237 4316 4446 4731 6308 6474 7247 8892 9462 9711 12948 14193 14494 18924 19422 20501 21741 28386 28988 38844 41002 43482 56772 61503 65223 82004 86964 94211 123006 130446 137693 184509 188422 246012 260892 275386 282633 369018 376844 413079 550772 565266 601501 738036 826158 847899 1130532 1203002 1239237 1652316 1695798 1790009 1804503 2406004 2478474 3391596 3580018 3609006 4956948 5370027 5413509 7160036 7218012 7819513 10740054 10827018 11428519 15639026 16110081 21480108 21654036 22857038 23458539 31278052 32220162 34285557 45714076 46917078 64440324 68571114 70375617 93834156 102856671 137142228 140751234 148570747 205713342 281502468 297141494 411426684 445712241 594282988 891424482 1337136723 1782848964 2674273446 5348546892