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41145696 = 2532142867
BaseRepresentation
bin1001110011110…
…1010101100000
32212102102021200
42130331111200
541013130241
64025521200
71006506204
oct234752540
985372250
1041145696
1121253409
1211943200
1386a8187
145670b04
15392b4b6
hex273d560

41145696 has 36 divisors (see below), whose sum is σ = 117008892. Its totient is φ = 13715136.

The previous prime is 41145641. The next prime is 41145701. The reversal of 41145696 is 69654114.

41145696 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a self number, because there is not a number n which added to its sum of digits gives 41145696.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 71146 + ... + 71721.

It is an arithmetic number, because the mean of its divisors is an integer number (3250247).

Almost surely, 241145696 is an apocalyptic number.

It is an amenable number.

41145696 is an abundant number, since it is smaller than the sum of its proper divisors (75863196).

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

41145696 is a wasteful number, since it uses less digits than its factorization.

41145696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142883 (or 142872 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 41145696 is about 6414.4910943893. The cubic root of 41145696 is about 345.2296895165.

The spelling of 41145696 in words is "forty-one million, one hundred forty-five thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 142867 285734 428601 571468 857202 1142936 1285803 1714404 2285872 2571606 3428808 4571744 5143212 6857616 10286424 13715232 20572848 41145696