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1217471742 = 2332331103307
BaseRepresentation
bin100100010010001…
…0010010011111110
310010211212222021000
41020210102103332
54443133043432
6320450351130
742112224204
oct11044222376
93124788230
101217471742
1157525a5a3
1229b88b4a6
13165300ba6
14b799b074
1571d3c57c
hex489124fe

1217471742 has 128 divisors (see below), whose sum is σ = 2952069120. Its totient is φ = 370798560.

The previous prime is 1217471741. The next prime is 1217471767. The reversal of 1217471742 is 2471747121.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1217471697 and 1217471706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1217471741) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3965553 + ... + 3965859.

It is an arithmetic number, because the mean of its divisors is an integer number (23063040).

Almost surely, 21217471742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1217471742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1476034560).

1217471742 is an abundant number, since it is smaller than the sum of its proper divisors (1734597378).

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

1217471742 is a wasteful number, since it uses less digits than its factorization.

1217471742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 475 (or 469 counting only the distinct ones).

The product of its digits is 21952, while the sum is 36.

The square root of 1217471742 is about 34892.2877151957. The cubic root of 1217471742 is about 1067.7910997807.

The spelling of 1217471742 in words is "one billion, two hundred seventeen million, four hundred seventy-one thousand, seven hundred forty-two".

Divisors: 1 2 3 6 9 18 23 27 31 46 54 62 69 93 103 138 186 206 207 279 307 309 414 558 614 618 621 713 837 921 927 1242 1426 1674 1842 1854 2139 2369 2763 2781 3193 4278 4738 5526 5562 6386 6417 7061 7107 8289 9517 9579 12834 14122 14214 16578 19034 19158 19251 21183 21321 28551 28737 31621 38502 42366 42642 57102 57474 63242 63549 63963 73439 85653 86211 94863 127098 127926 146878 171306 172422 189726 190647 218891 220317 256959 284589 381294 437782 440634 513918 569178 656673 660951 727283 853767 980251 1313346 1321902 1454566 1707534 1960502 1970019 1982853 2181849 2940753 3940038 3965706 4363698 5881506 5910057 6545547 8822259 11820114 13091094 17644518 19636641 22545773 26466777 39273282 45091546 52933554 67637319 135274638 202911957 405823914 608735871 1217471742