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42183414 = 23272132283
BaseRepresentation
bin1010000011101…
…0101011110110
32221101010202200
42200322223312
541244332124
64104045330
71021360500
oct240725366
987333680
1042183414
11218a2029
1212163846
13897c600
145860d70
153a83bc9
hex283aaf6

42183414 has 108 divisors (see below), whose sum is σ = 115533756. Its totient is φ = 11085984.

The previous prime is 42183397. The next prime is 42183433. The reversal of 42183414 is 41438124.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 148917 + ... + 149199.

It is an arithmetic number, because the mean of its divisors is an integer number (1069757).

Almost surely, 242183414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42183414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57766878).

42183414 is an abundant number, since it is smaller than the sum of its proper divisors (73350342).

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

42183414 is a wasteful number, since it uses less digits than its factorization.

42183414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331 (or 308 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 42183414 is about 6494.8759803402. The cubic root of 42183414 is about 348.1079233243.

The spelling of 42183414 in words is "forty-two million, one hundred eighty-three thousand, four hundred fourteen".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 49 63 78 91 98 117 126 147 169 182 234 273 283 294 338 441 507 546 566 637 819 849 882 1014 1183 1274 1521 1638 1698 1911 1981 2366 2547 3042 3549 3679 3822 3962 5094 5733 5943 7098 7358 8281 10647 11037 11466 11886 13867 16562 17829 21294 22074 24843 25753 27734 33111 35658 41601 47827 49686 51506 66222 74529 77259 83202 95654 124803 143481 149058 154518 180271 231777 249606 286962 334789 360542 430443 463554 540813 669578 860886 1004367 1081626 1622439 2008734 2343523 3013101 3244878 4687046 6026202 7030569 14061138 21091707 42183414