Search a number
-
+
45344748 = 22329229569
BaseRepresentation
bin1010110011111…
…0011111101100
310011022202022010
42230332133230
543102012443
64255521220
71060265301
oct254763754
9104282263
1045344748
11236611a9
1213229210
139518517
1460450a8
153eaa733
hex2b3e7ec

45344748 has 48 divisors (see below), whose sum is σ = 110124000. Its totient is φ = 14504448.

The previous prime is 45344713. The next prime is 45344779. The reversal of 45344748 is 84744354.

It is a super-2 number, since 2×453447482 = 4112292342367008, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79408 + ... + 79976.

It is an arithmetic number, because the mean of its divisors is an integer number (2294250).

Almost surely, 245344748 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 45344748, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55062000).

45344748 is an abundant number, since it is smaller than the sum of its proper divisors (64779252).

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

45344748 is a wasteful number, since it uses less digits than its factorization.

45344748 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 834 (or 832 counting only the distinct ones).

The product of its digits is 215040, while the sum is 39.

The square root of 45344748 is about 6733.8509042004. The cubic root of 45344748 is about 356.5953405959.

The spelling of 45344748 in words is "forty-five million, three hundred forty-four thousand, seven hundred forty-eight".

Divisors: 1 2 3 4 6 12 29 58 87 116 174 229 348 458 569 687 916 1138 1374 1707 2276 2748 3414 6641 6828 13282 16501 19923 26564 33002 39846 49503 66004 79692 99006 130301 198012 260602 390903 521204 781806 1563612 3778729 7557458 11336187 15114916 22672374 45344748