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41134212 = 223272347151
BaseRepresentation
bin1001110011101…
…0100010000100
32212101211112100
42130322202010
541012243322
64025352100
71006430550
oct234724204
985354470
1041134212
1121245819
1211938630
1386a2b92
14566a860
153927dac
hex273a884

41134212 has 144 divisors (see below), whose sum is σ = 127475712. Its totient is φ = 10929600.

The previous prime is 41134211. The next prime is 41134213. The reversal of 41134212 is 21243114.

It is an interprime number because it is at equal distance from previous prime (41134211) and next prime (41134213).

It is a Harshad number since it is a multiple of its sum of digits (18).

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

It is not an unprimeable number, because it can be changed into a prime (41134211) by changing a digit.

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, 272337 + ... + 272487.

It is an arithmetic number, because the mean of its divisors is an integer number (885248).

Almost surely, 241134212 is an apocalyptic number.

41134212 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 41134212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63737856).

41134212 is an abundant number, since it is smaller than the sum of its proper divisors (86341500).

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

41134212 is a wasteful number, since it uses less digits than its factorization.

41134212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 233 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 41134212 is about 6413.5958712722. The cubic root of 41134212 is about 345.1975679984.

Adding to 41134212 its reverse (21243114), we get a palindrome (62377326).

The spelling of 41134212 in words is "forty-one million, one hundred thirty-four thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 23 28 36 42 46 47 63 69 84 92 94 126 138 141 151 161 188 207 252 276 282 302 322 329 414 423 453 483 564 604 644 658 828 846 906 966 987 1057 1081 1316 1359 1449 1692 1812 1932 1974 2114 2162 2718 2898 2961 3171 3243 3473 3948 4228 4324 5436 5796 5922 6342 6486 6946 7097 7567 9513 9729 10419 11844 12684 12972 13892 14194 15134 19026 19458 20838 21291 22701 24311 28388 30268 31257 38052 38916 41676 42582 45402 48622 49679 62514 63873 68103 72933 85164 90804 97244 99358 125028 127746 136206 145866 149037 163231 198716 218799 255492 272412 291732 298074 326462 437598 447111 489693 596148 652924 875196 894222 979386 1142617 1469079 1788444 1958772 2285234 2938158 3427851 4570468 5876316 6855702 10283553 13711404 20567106 41134212