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41327104 = 29713887
BaseRepresentation
bin1001110110100…
…1101000000000
32212202122010111
42131221220000
541034431404
64033441104
71011163120
oct235515000
985678114
1041327104
1121367735
1211a10194
13873c910
1456bac80
153965104
hex2769a00

41327104 has 80 divisors (see below), whose sum is σ = 101743488. Its totient is φ = 16330752.

The previous prime is 41327101. The next prime is 41327107. The reversal of 41327104 is 40172314.

It is an interprime number because it is at equal distance from previous prime (41327101) and next prime (41327107).

It is not an unprimeable number, because it can be changed into a prime (41327101) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46149 + ... + 47035.

Almost surely, 241327104 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 41327104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50871744).

41327104 is an abundant number, since it is smaller than the sum of its proper divisors (60416384).

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

41327104 is an equidigital number, since it uses as much as digits as its factorization.

41327104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 925 (or 909 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 41327104 is about 6428.6160252421. The cubic root of 41327104 is about 345.7363088282.

Adding to 41327104 its reverse (40172314), we get a palindrome (81499418).

It can be divided in two parts, 4132 and 7104, that added together give a square (11236 = 1062).

The spelling of 41327104 in words is "forty-one million, three hundred twenty-seven thousand, one hundred four".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 128 182 208 224 256 364 416 448 512 728 832 887 896 1456 1664 1774 1792 2912 3328 3548 3584 5824 6209 6656 7096 11531 11648 12418 14192 23062 23296 24836 28384 46124 46592 49672 56768 80717 92248 99344 113536 161434 184496 198688 227072 322868 368992 397376 454144 645736 737984 794752 1291472 1475968 1589504 2582944 2951936 3179008 5165888 5903872 10331776 20663552 41327104