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45208404 = 223241109281
BaseRepresentation
bin1010110001110…
…1001101010100
310011001211021100
42230131031110
543033132104
64252550100
71056156633
oct254351524
9104054240
1045208404
112357881a
1213182330
13949b447
14600b51a
153e80139
hex2b1d354

45208404 has 72 divisors (see below), whose sum is σ = 118558440. Its totient is φ = 14515200.

The previous prime is 45208399. The next prime is 45208411. The reversal of 45208404 is 40480254.

45208404 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 3992004 + 41216400 = 1998^2 + 6420^2 .

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 23 ways as a sum of consecutive naturals, for example, 160744 + ... + 161024.

It is an arithmetic number, because the mean of its divisors is an integer number (1646645).

Almost surely, 245208404 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 45208404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59279220).

45208404 is an abundant number, since it is smaller than the sum of its proper divisors (73350036).

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

45208404 is a wasteful number, since it uses less digits than its factorization.

45208404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 45208404 is about 6723.7195063447. The cubic root of 45208404 is about 356.2375744512.

Adding to 45208404 its reverse (40480254), we get a palindrome (85688658).

The spelling of 45208404 in words is "forty-five million, two hundred eight thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 41 82 109 123 164 218 246 281 327 369 436 492 562 654 738 843 981 1124 1308 1476 1686 1962 2529 3372 3924 4469 5058 8938 10116 11521 13407 17876 23042 26814 30629 34563 40221 46084 53628 61258 69126 80442 91887 103689 122516 138252 160884 183774 207378 275661 367548 414756 551322 1102644 1255789 2511578 3767367 5023156 7534734 11302101 15069468 22604202 45208404