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3048917652 = 2233119532693
BaseRepresentation
bin1011010110111010…
…1100101010010100
321212111002001202000
42311232230222110
522221010331102
61222312515300
7135361241514
oct26556545224
97774061660
103048917652
111325041a60
127110abb30
133978810b1
1420ccdb844
1512ca0801c
hexb5baca94

3048917652 has 96 divisors (see below), whose sum is σ = 8635455360. Its totient is φ = 922602240.

The previous prime is 3048917647. The next prime is 3048917653. The reversal of 3048917652 is 2567198403.

3048917652 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

3048917652 is strictly pandigital in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 3048917598 and 3048917607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3048917653) 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 31 ways as a sum of consecutive naturals, for example, 1130818 + ... + 1133510.

It is an arithmetic number, because the mean of its divisors is an integer number (89952660).

It is a 1-persistent number, because it is pandigital, but 2⋅3048917652 = 6097835304 is not.

Almost surely, 23048917652 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 3048917652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4317727680).

3048917652 is an abundant number, since it is smaller than the sum of its proper divisors (5586537708).

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

3048917652 is a wasteful number, since it uses less digits than its factorization.

3048917652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3670 (or 3662 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 3048917652 is about 55217.0050980674. The cubic root of 3048917652 is about 1450.0463959788.

The spelling of 3048917652 in words is "three billion, forty-eight million, nine hundred seventeen thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 297 396 594 953 1188 1906 2693 2859 3812 5386 5718 8079 8577 10483 10772 11436 16158 17154 20966 24237 25731 29623 31449 32316 34308 41932 48474 51462 59246 62898 72711 88869 94347 96948 102924 118492 125796 145422 177738 188694 266607 283041 290844 355476 377388 533214 566082 799821 1066428 1132164 1599642 2566429 3199284 5132858 7699287 10265716 15398574 23097861 28230719 30797148 46195722 56461438 69293583 84692157 92391444 112922876 138587166 169384314 254076471 277174332 338768628 508152942 762229413 1016305884 1524458826 3048917652