Search a number
-
+
41798232 = 23327239347
BaseRepresentation
bin1001111101110…
…0101001011000
32220122120101200
42133130221120
541200020412
64051514200
71015164510
oct237345130
986576350
1041798232
11216596a3
1211bb8960
1388761a8
1457a0840
153a099dc
hex27dca58

41798232 has 96 divisors (see below), whose sum is σ = 130291200. Its totient is φ = 11858112.

The previous prime is 41798221. The next prime is 41798243. The reversal of 41798232 is 23289714.

41798232 is a `hidden beast` number, since 417 + 9 + 8 + 232 = 666.

It is an interprime number because it is at equal distance from previous prime (41798221) and next prime (41798243).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 120283 + ... + 120629.

It is an arithmetic number, because the mean of its divisors is an integer number (1357200).

Almost surely, 241798232 is an apocalyptic number.

41798232 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41798232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65145600).

41798232 is an abundant number, since it is smaller than the sum of its proper divisors (88492968).

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

41798232 is a wasteful number, since it uses less digits than its factorization.

41798232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 605 (or 598 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 41798232 is about 6465.1552185543. The cubic root of 41798232 is about 347.0451430221.

The spelling of 41798232 in words is "forty-one million, seven hundred ninety-eight thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 239 252 347 478 504 694 717 956 1041 1388 1434 1673 1912 2082 2151 2429 2776 2868 3123 3346 4164 4302 4858 5019 5736 6246 6692 7287 8328 8604 9716 10038 12492 13384 14574 15057 17208 19432 20076 21861 24984 29148 30114 40152 43722 58296 60228 82933 87444 120456 165866 174888 248799 331732 497598 580531 663464 746397 995196 1161062 1492794 1741593 1990392 2322124 2985588 3483186 4644248 5224779 5971176 6966372 10449558 13932744 20899116 41798232