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3012005052 = 2232753613697
BaseRepresentation
bin1011001110000111…
…1000110010111100
321202220121201011200
42303201320302330
522132033130202
61214513415500
7134432422560
oct26341706274
97686551150
103012005052
11130621aa81
1270086a590
13390028914
1420804d6a0
15129665e1c
hexb3878cbc

3012005052 has 144 divisors (see below), whose sum is σ = 9013298112. Its totient is φ = 830269440.

The previous prime is 3012004987. The next prime is 3012005071. The reversal of 3012005052 is 2505002103.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 47 ways as a sum of consecutive naturals, for example, 812868 + ... + 816564.

It is an arithmetic number, because the mean of its divisors is an integer number (62592348).

Almost surely, 23012005052 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 3012005052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4506649056).

3012005052 is an abundant number, since it is smaller than the sum of its proper divisors (6001293060).

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

3012005052 is a wasteful number, since it uses less digits than its factorization.

3012005052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3828 (or 3823 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 3012005052 is about 54881.7369623083. The cubic root of 3012005052 is about 1444.1708188485.

Adding to 3012005052 its reverse (2505002103), we get a palindrome (5517007155).

The spelling of 3012005052 in words is "three billion, twelve million, five thousand, fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 53 61 63 84 106 122 126 159 183 212 244 252 318 366 371 427 477 549 636 732 742 854 954 1098 1113 1281 1484 1708 1908 2196 2226 2562 3233 3339 3697 3843 4452 5124 6466 6678 7394 7686 9699 11091 12932 13356 14788 15372 19398 22182 22631 25879 29097 33273 38796 44364 45262 51758 58194 66546 67893 77637 90524 103516 116388 133092 135786 155274 195941 203679 225517 232911 271572 310548 391882 407358 451034 465822 587823 676551 783764 814716 902068 931644 1175646 1353102 1371587 1578619 1763469 2029653 2351292 2706204 2743174 3157238 3526938 4059306 4114761 4735857 5486348 6314476 7053876 8118612 8229522 9471714 11952401 12344283 14207571 16459044 18943428 23904802 24688566 28415142 35857203 47809604 49377132 56830284 71714406 83666807 107571609 143428812 167333614 215143218 251000421 334667228 430286436 502000842 753001263 1004001684 1506002526 3012005052