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41929164 = 22374793
BaseRepresentation
bin1001111111110…
…0100111001100
32220220020000000
42133330213030
541213213124
64054404300
71016251314
oct237744714
986806000
1041929164
1121739002
1212060690
1388c0974
1457d6444
153a336c9
hex27fc9cc

41929164 has 48 divisors (see below), whose sum is σ = 110070240. Its totient is φ = 13973472.

The previous prime is 41929163. The next prime is 41929231. The reversal of 41929164 is 46192914.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (41929163) 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, 6352 + ... + 11144.

It is an arithmetic number, because the mean of its divisors is an integer number (2293130).

Almost surely, 241929164 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 41929164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55035120).

41929164 is an abundant number, since it is smaller than the sum of its proper divisors (68141076).

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

41929164 is an equidigital number, since it uses as much as digits as its factorization.

41929164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4818 (or 4798 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 41929164 is about 6475.2732760865. The cubic root of 41929164 is about 347.4071356155.

The spelling of 41929164 in words is "forty-one million, nine hundred twenty-nine thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 972 1458 2187 2916 4374 4793 8748 9586 14379 19172 28758 43137 57516 86274 129411 172548 258822 388233 517644 776466 1164699 1552932 2329398 3494097 4658796 6988194 10482291 13976388 20964582 41929164