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42161364 = 22337231257
BaseRepresentation
bin1010000011010…
…1010011010100
32221100000112000
42200311103110
541243130424
64103355300
71021236300
oct240652324
987300460
1042161364
1121887503
1212152b30
13897256b
145856d00
153a7c3c9
hex28354d4

42161364 has 144 divisors (see below), whose sum is σ = 131765760. Its totient is φ = 11612160.

The previous prime is 42161359. The next prime is 42161393. The reversal of 42161364 is 46316124.

42161364 is a `hidden beast` number, since 42 + 1 + 613 + 6 + 4 = 666.

It is a super-2 number, since 2×421613642 = 3555161228680992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 163924 + ... + 164180.

It is an arithmetic number, because the mean of its divisors is an integer number (915040).

Almost surely, 242161364 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 42161364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65882880).

42161364 is an abundant number, since it is smaller than the sum of its proper divisors (89604396).

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

42161364 is a wasteful number, since it uses less digits than its factorization.

42161364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 300 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 42161364 is about 6493.1782664578. The cubic root of 42161364 is about 348.0472587424.

Adding to 42161364 its reverse (46316124), we get a palindrome (88477488).

The spelling of 42161364 in words is "forty-two million, one hundred sixty-one thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 31 36 42 49 54 62 63 84 93 98 108 124 126 147 186 189 196 217 252 257 279 294 372 378 434 441 514 558 588 651 756 771 837 868 882 1028 1116 1302 1323 1519 1542 1674 1764 1799 1953 2313 2604 2646 3038 3084 3348 3598 3906 4557 4626 5292 5397 5859 6076 6939 7196 7812 7967 9114 9252 10794 11718 12593 13671 13878 15934 16191 18228 21588 23436 23901 25186 27342 27756 31868 32382 37779 41013 47802 48573 50372 54684 55769 64764 71703 75558 82026 95604 97146 111538 113337 143406 151116 164052 167307 194292 215109 223076 226674 286812 334614 340011 390383 430218 453348 501921 669228 680022 780766 860436 1003842 1171149 1360044 1505763 1561532 2007684 2342298 3011526 3513447 4684596 6023052 7026894 10540341 14053788 21080682 42161364