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45941104 = 2411299001
BaseRepresentation
bin1010111101000…
…0000101110000
310012110001100101
42233100011300
543230103404
64320402144
71065331036
oct257200560
9105401311
1045941104
1123a29260
1213476354
139696ab1
14615c556
1540772a4
hex2bd0170

45941104 has 40 divisors (see below), whose sum is σ = 100462320. Its totient is φ = 20160000.

The previous prime is 45941099. The next prime is 45941149. The reversal of 45941104 is 40114954.

It is a super-2 number, since 2×459411042 = 4221170073477632, which contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 604 + ... + 9604.

It is an arithmetic number, because the mean of its divisors is an integer number (2511558).

Almost surely, 245941104 is an apocalyptic number.

45941104 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 45941104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50231160).

45941104 is an abundant number, since it is smaller than the sum of its proper divisors (54521216).

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

45941104 is a wasteful number, since it uses less digits than its factorization.

45941104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9049 (or 9043 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 45941104 is about 6777.9867217338. The cubic root of 45941104 is about 358.1518035405.

It can be divided in two parts, 45 and 941104, that added together give a palindrome (941149).

The spelling of 45941104 in words is "forty-five million, nine hundred forty-one thousand, one hundred four".

Divisors: 1 2 4 8 11 16 22 29 44 58 88 116 176 232 319 464 638 1276 2552 5104 9001 18002 36004 72008 99011 144016 198022 261029 396044 522058 792088 1044116 1584176 2088232 2871319 4176464 5742638 11485276 22970552 45941104