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3052613844 = 223377355313
BaseRepresentation
bin1011010111110011…
…0011000011010100
321212202000211222000
42311330303003110
522222432120334
61222524035300
7135434534550
oct26574630324
97782024860
103052613844
111327136a65
12712392b30
133985765a7
1420d5c0860
1512ced8299
hexb5f330d4

3052613844 has 96 divisors (see below), whose sum is σ = 9168848640. Its totient is φ = 860212224.

The previous prime is 3052613827. The next prime is 3052613873. The reversal of 3052613844 is 4483162503.

3052613844 is a `hidden beast` number, since 30 + 5 + 2 + 613 + 8 + 4 + 4 = 666.

It is a super-3 number, since 3×30526138443 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3052613799 and 3052613808.

It is a congruent number.

It is an unprimeable number.

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, 27532 + ... + 82844.

It is an arithmetic number, because the mean of its divisors is an integer number (95508840).

Almost surely, 23052613844 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 3052613844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4584424320).

3052613844 is an abundant number, since it is smaller than the sum of its proper divisors (6116234796).

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

3052613844 is a wasteful number, since it uses less digits than its factorization.

3052613844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55406 (or 55398 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 3052613844 is about 55250.4646496299. The cubic root of 3052613844 is about 1450.6321213770.

The spelling of 3052613844 in words is "three billion, fifty-two million, six hundred thirteen thousand, eight hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 73 84 108 126 146 189 219 252 292 378 438 511 657 756 876 1022 1314 1533 1971 2044 2628 3066 3942 4599 6132 7884 9198 13797 18396 27594 55188 55313 110626 165939 221252 331878 387191 497817 663756 774382 995634 1161573 1493451 1548764 1991268 2323146 2986902 3484719 4037849 4646292 5973804 6969438 8075698 10454157 12113547 13938876 16151396 20908314 24227094 28264943 36340641 41816628 48454188 56529886 72681282 84794829 109021923 113059772 145362564 169589658 218043846 254384487 339179316 436087692 508768974 763153461 1017537948 1526306922 3052613844