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3979569342 = 2371923534091
BaseRepresentation
bin1110110100110011…
…0110100010111110
3101021100021001212010
43231030312202332
531122232204332
61454515552050
7200421531660
oct35514664276
911240231763
103979569342
1117623aa391
129308bb626
134b561a278
1429a756530
1518458b9cc
hexed3368be

3979569342 has 128 divisors (see below), whose sum is σ = 10182205440. Its totient is φ = 1010655360.

The previous prime is 3979569337. The next prime is 3979569353. The reversal of 3979569342 is 2439659793.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 970717 + ... + 974807.

It is an arithmetic number, because the mean of its divisors is an integer number (79548480).

Almost surely, 23979569342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3979569342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5091102720).

3979569342 is an abundant number, since it is smaller than the sum of its proper divisors (6202636098).

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

3979569342 is a wasteful number, since it uses less digits than its factorization.

3979569342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4198.

The product of its digits is 11022480, while the sum is 57.

The square root of 3979569342 is about 63083.8278959037. The cubic root of 3979569342 is about 1584.6938001450.

The spelling of 3979569342 in words is "three billion, nine hundred seventy-nine million, five hundred sixty-nine thousand, three hundred forty-two".

Divisors: 1 2 3 6 7 14 19 21 23 38 42 46 53 57 69 106 114 133 138 159 161 266 318 322 371 399 437 483 742 798 874 966 1007 1113 1219 1311 2014 2226 2438 2622 3021 3059 3657 4091 6042 6118 7049 7314 8182 8533 9177 12273 14098 17066 18354 21147 23161 24546 25599 28637 42294 46322 51198 57274 69483 77729 85911 94093 138966 155458 162127 171822 188186 216823 233187 282279 324254 433646 466374 486381 544103 564558 650469 658651 972762 1088206 1300938 1317302 1517761 1632309 1787767 1975953 3035522 3264618 3575534 3951906 4119637 4553283 4986929 5363301 8239274 9106566 9973858 10726602 12358911 12514369 14960787 24717822 25028738 28837459 29921574 34908503 37543107 57674918 69817006 75086214 86512377 94751651 104725509 173024754 189503302 209451018 284254953 568509906 663261557 1326523114 1989784671 3979569342