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45641838 = 231117192141
BaseRepresentation
bin1010111000011…
…1000001101110
310011212211211110
42232013001232
543141014323
64310132450
71062643404
oct256070156
9104784743
1045641838
1123844430
1213351126
1395c0808
1460c1474
154018793
hex2b8706e

45641838 has 64 divisors (see below), whose sum is σ = 111041280. Its totient is φ = 12326400.

The previous prime is 45641837. The next prime is 45641839. The reversal of 45641838 is 83814654.

45641838 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (45641837) and next prime (45641839).

It is a super-3 number, since 3×456418383 (a number of 24 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 45641796 and 45641805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45641837) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 20248 + ... + 22388.

It is an arithmetic number, because the mean of its divisors is an integer number (1735020).

Almost surely, 245641838 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45641838, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55520640).

45641838 is an abundant number, since it is smaller than the sum of its proper divisors (65399442).

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

45641838 is a wasteful number, since it uses less digits than its factorization.

45641838 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2193.

The product of its digits is 92160, while the sum is 39.

The square root of 45641838 is about 6755.8743327566. The cubic root of 45641838 is about 357.3724271369.

The spelling of 45641838 in words is "forty-five million, six hundred forty-one thousand, eight hundred thirty-eight".

Divisors: 1 2 3 6 11 17 19 22 33 34 38 51 57 66 102 114 187 209 323 374 418 561 627 646 969 1122 1254 1938 2141 3553 4282 6423 7106 10659 12846 21318 23551 36397 40679 47102 70653 72794 81358 109191 122037 141306 218382 244074 400367 447469 691543 800734 894938 1201101 1342407 1383086 2074629 2402202 2684814 4149258 7606973 15213946 22820919 45641838