Search a number
-
+
41706672 = 24371947139
BaseRepresentation
bin1001111100011…
…0010010110000
32220110220210120
42133012102300
541134103142
64045530240
71014333540
oct237062260
986426716
1041706672
11215a6927
1211b73980
138843607
145779320
1539dc7ec
hex27c64b0

41706672 has 160 divisors (see below), whose sum is σ = 133324800. Its totient is φ = 10969344.

The previous prime is 41706671. The next prime is 41706683. The reversal of 41706672 is 27660714.

It is not an unprimeable number, because it can be changed into a prime (41706671) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 299979 + ... + 300117.

It is an arithmetic number, because the mean of its divisors is an integer number (833280).

Almost surely, 241706672 is an apocalyptic number.

41706672 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 41706672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66662400).

41706672 is an abundant number, since it is smaller than the sum of its proper divisors (91618128).

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

41706672 is a wasteful number, since it uses less digits than its factorization.

41706672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 33.

The square root of 41706672 is about 6458.0703000200. The cubic root of 41706672 is about 346.7915542803.

The spelling of 41706672 in words is "forty-one million, seven hundred six thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 38 42 47 48 56 57 76 84 94 112 114 133 139 141 152 168 188 228 266 278 282 304 329 336 376 399 417 456 532 556 564 658 752 798 834 893 912 973 987 1064 1112 1128 1316 1596 1668 1786 1946 1974 2128 2224 2256 2632 2641 2679 2919 3192 3336 3572 3892 3948 5264 5282 5358 5838 6251 6384 6533 6672 7144 7784 7896 7923 10564 10716 11676 12502 13066 14288 15568 15792 15846 18487 18753 19599 21128 21432 23352 25004 26132 31692 36974 37506 39198 42256 42864 45731 46704 50008 52264 55461 63384 73948 75012 78396 91462 100016 104528 110922 124127 126768 137193 147896 150024 156792 182924 221844 248254 274386 295792 300048 313584 365848 372381 443688 496508 548772 731696 744762 868889 887376 993016 1097544 1489524 1737778 1986032 2195088 2606667 2979048 3475556 5213334 5958096 6951112 10426668 13902224 20853336 41706672