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41232672 = 2533133671
BaseRepresentation
bin1001110101001…
…0100100100000
32212120211121000
42131102210200
541023421142
64031432000
71010320605
oct235224440
985524530
1041232672
1121302798
1211985600
138708940
1456946ac
15394714c
hex2752920

41232672 has 96 divisors (see below), whose sum is σ = 129548160. Its totient is φ = 12683520.

The previous prime is 41232637. The next prime is 41232673. The reversal of 41232672 is 27623214.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is not an unprimeable number, because it can be changed into a prime (41232673) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9397 + ... + 13067.

It is an arithmetic number, because the mean of its divisors is an integer number (1349460).

Almost surely, 241232672 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 41232672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64774080).

41232672 is an abundant number, since it is smaller than the sum of its proper divisors (88315488).

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

41232672 is a wasteful number, since it uses less digits than its factorization.

41232672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3703 (or 3689 counting only the distinct ones).

The product of its digits is 4032, while the sum is 27.

The square root of 41232672 is about 6421.2671646646. The cubic root of 41232672 is about 345.4727733855.

Adding to 41232672 its reverse (27623214), we get a palindrome (68855886).

The spelling of 41232672 in words is "forty-one million, two hundred thirty-two thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 72 78 96 104 108 117 144 156 208 216 234 288 312 351 416 432 468 624 702 864 936 1248 1404 1872 2808 3671 3744 5616 7342 11013 11232 14684 22026 29368 33039 44052 47723 58736 66078 88104 95446 99117 117472 132156 143169 176208 190892 198234 264312 286338 352416 381784 396468 429507 528624 572676 763568 792936 859014 1057248 1145352 1288521 1527136 1585872 1718028 2290704 2577042 3171744 3436056 4581408 5154084 6872112 10308168 13744224 20616336 41232672