Search a number
-
+
41829696 = 26348069
BaseRepresentation
bin1001111110010…
…0010101000000
32220201011120000
42133210111000
541202022241
64052320000
71015355316
oct237442500
986634500
1041829696
11216802a7
1212013000
1388875cc
1457ac0b6
153a13eb6
hex27e4540

41829696 has 70 divisors (see below), whose sum is σ = 124011690. Its totient is φ = 13941504.

The previous prime is 41829677. The next prime is 41829701. The reversal of 41829696 is 69692814.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 21902400 + 19927296 = 4680^2 + 4464^2 .

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1150 + ... + 9218.

Almost surely, 241829696 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 41829696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62005845).

41829696 is an abundant number, since it is smaller than the sum of its proper divisors (82181994).

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

41829696 is an equidigital number, since it uses as much as digits as its factorization.

41829696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8093 (or 8074 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The square root of 41829696 is about 6467.5881130449. The cubic root of 41829696 is about 347.1322016456.

The spelling of 41829696 in words is "forty-one million, eight hundred twenty-nine thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 1296 1728 2592 5184 8069 16138 24207 32276 48414 64552 72621 96828 129104 145242 193656 217863 258208 290484 387312 435726 516416 580968 653589 774624 871452 1161936 1307178 1549248 1742904 2323872 2614356 3485808 4647744 5228712 6971616 10457424 13943232 20914848 41829696