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41442912 = 2532761337
BaseRepresentation
bin1001111000010…
…1111001100000
32212222111222200
42132011321200
541102133122
64040133200
71012154550
oct236057140
985874880
1041442912
1121436745
1211a67200
138780544
14570b160
1539895ac
hex2785e60

41442912 has 144 divisors (see below), whose sum is σ = 137303712. Its totient is φ = 11612160.

The previous prime is 41442901. The next prime is 41442931. The reversal of 41442912 is 21924414.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

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, 122808 + ... + 123144.

It is an arithmetic number, because the mean of its divisors is an integer number (953498).

Almost surely, 241442912 is an apocalyptic number.

41442912 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 41442912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68651856).

41442912 is an abundant number, since it is smaller than the sum of its proper divisors (95860800).

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

41442912 is a wasteful number, since it uses less digits than its factorization.

41442912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421 (or 410 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 41442912 is about 6437.6169503940. The cubic root of 41442912 is about 346.0589517203.

It can be divided in two parts, 4144 and 2912, that added together give a square (7056 = 842).

The spelling of 41442912 in words is "forty-one million, four hundred forty-two thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 61 63 72 84 96 112 122 126 144 168 183 224 244 252 288 336 337 366 427 488 504 549 672 674 732 854 976 1008 1011 1098 1281 1348 1464 1708 1952 2016 2022 2196 2359 2562 2696 2928 3033 3416 3843 4044 4392 4718 5124 5392 5856 6066 6832 7077 7686 8088 8784 9436 10248 10784 12132 13664 14154 15372 16176 17568 18872 20496 20557 21231 24264 28308 30744 32352 37744 40992 41114 42462 48528 56616 61488 61671 75488 82228 84924 97056 113232 122976 123342 143899 164456 169848 185013 226464 246684 287798 328912 339696 370026 431697 493368 575596 657824 679392 740052 863394 986736 1151192 1295091 1480104 1726788 1973472 2302384 2590182 2960208 3453576 4604768 5180364 5920416 6907152 10360728 13814304 20721456 41442912