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45433044 = 223217611217
BaseRepresentation
bin1010110101010…
…0000011010100
310011111020102100
42231110003110
543112324134
64301442100
71061113566
oct255240324
9104436370
1045433044
1123711578
1213270330
139549777
146069336
153ec6999
hex2b540d4

45433044 has 72 divisors (see below), whose sum is σ = 123695208. Its totient is φ = 14008320.

The previous prime is 45433039. The next prime is 45433049. The reversal of 45433044 is 44033454.

It is an interprime number because it is at equal distance from previous prime (45433039) and next prime (45433049).

It can be written as a sum of positive squares in 4 ways, for example, as 1077444 + 44355600 = 1038^2 + 6660^2 .

It is a super-2 number, since 2×454330442 = 4128322974211872, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 45432999 and 45433017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45433049) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 36724 + ... + 37940.

It is an arithmetic number, because the mean of its divisors is an integer number (1717989).

Almost surely, 245433044 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 45433044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61847604).

45433044 is an abundant number, since it is smaller than the sum of its proper divisors (78262164).

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

45433044 is a wasteful number, since it uses less digits than its factorization.

45433044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1305 (or 1300 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 27.

The square root of 45433044 is about 6740.4038454680. The cubic root of 45433044 is about 356.8266465282.

Adding to 45433044 its reverse (44033454), we get a palindrome (89466498).

The spelling of 45433044 in words is "forty-five million, four hundred thirty-three thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 61 68 102 122 153 183 204 244 306 366 549 612 732 1037 1098 1217 2074 2196 2434 3111 3651 4148 4868 6222 7302 9333 10953 12444 14604 18666 20689 21906 37332 41378 43812 62067 74237 82756 124134 148474 186201 222711 248268 296948 372402 445422 668133 744804 890844 1262029 1336266 2524058 2672532 3786087 5048116 7572174 11358261 15144348 22716522 45433044