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41272704 = 2732113257
BaseRepresentation
bin1001110101110…
…0010110000000
32212122212111200
42131130112000
541031211304
64032341200
71010545404
oct235342600
985585450
1041272704
112132a880
12119a4800
138720c25
1456a5104
153953e39
hex275c580

41272704 has 96 divisors (see below), whose sum is σ = 129603240. Its totient is φ = 12503040.

The previous prime is 41272703. The next prime is 41272709. The reversal of 41272704 is 40727214.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41272703) 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 11 ways as a sum of consecutive naturals, for example, 11044 + ... + 14300.

Almost surely, 241272704 is an apocalyptic number.

41272704 is a gapful number since it is divisible by the number (44) 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 41272704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64801620).

41272704 is an abundant number, since it is smaller than the sum of its proper divisors (88330536).

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

41272704 is a wasteful number, since it uses less digits than its factorization.

41272704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3288 (or 3273 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 27.

The square root of 41272704 is about 6424.3835501937. The cubic root of 41272704 is about 345.5845414896.

Adding to 41272704 its reverse (40727214), we get a palindrome (81999918).

Subtracting from 41272704 its reverse (40727214), we obtain a triangular number (545490 = T1044).

The spelling of 41272704 in words is "forty-one million, two hundred seventy-two thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 128 132 144 176 192 198 264 288 352 384 396 528 576 704 792 1056 1152 1408 1584 2112 3168 3257 4224 6336 6514 9771 12672 13028 19542 26056 29313 35827 39084 52112 58626 71654 78168 104224 107481 117252 143308 156336 208448 214962 234504 286616 312672 322443 416896 429924 469008 573232 625344 644886 859848 938016 1146464 1250688 1289772 1719696 1876032 2292928 2579544 3439392 3752064 4585856 5159088 6878784 10318176 13757568 20636352 41272704