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45438354 = 233133383
BaseRepresentation
bin1010110101010…
…1010110010010
310011111111201000
42231111112102
543113011404
64301522430
71061135223
oct255252622
9104444630
1045438354
1123715565
1213273416
13954c000
14606b24a
153ec8339
hex2b55592

45438354 has 64 divisors (see below), whose sum is σ = 109670400. Its totient is φ = 13944528.

The previous prime is 45438353. The next prime is 45438383. The reversal of 45438354 is 45383454.

45438354 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (45438353) 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, 118447 + ... + 118829.

It is an arithmetic number, because the mean of its divisors is an integer number (1713600).

Almost surely, 245438354 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45438354, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54835200).

45438354 is an abundant number, since it is smaller than the sum of its proper divisors (64232046).

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

45438354 is a wasteful number, since it uses less digits than its factorization.

45438354 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433 (or 401 counting only the distinct ones).

The product of its digits is 115200, while the sum is 36.

The square root of 45438354 is about 6740.7977272723. The cubic root of 45438354 is about 356.8405473921.

The spelling of 45438354 in words is "forty-five million, four hundred thirty-eight thousand, three hundred fifty-four".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 117 169 234 338 351 383 507 702 766 1014 1149 1521 2197 2298 3042 3447 4394 4563 4979 6591 6894 9126 9958 10341 13182 14937 19773 20682 29874 39546 44811 59319 64727 89622 118638 129454 134433 194181 268866 388362 582543 841451 1165086 1682902 1747629 2524353 3495258 5048706 7573059 15146118 22719177 45438354