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45825024 = 210372131
BaseRepresentation
bin1010111011001…
…1110000000000
310012020011010010
42232303300000
543212400044
64314104520
71064335440
oct256636000
9105204103
1045825024
112395a023
121341b140
139655ccb
14612c120
154052bb9
hex2bb3c00

45825024 has 88 divisors (see below), whose sum is σ = 139654528. Its totient is φ = 13086720.

The previous prime is 45825023. The next prime is 45825041. The reversal of 45825024 is 42052854.

It is a junction number, because it is equal to n+sod(n) for n = 45824982 and 45825000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45825023) 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 7 ways as a sum of consecutive naturals, for example, 20439 + ... + 22569.

Almost surely, 245825024 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 45825024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69827264).

45825024 is an abundant number, since it is smaller than the sum of its proper divisors (93829504).

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

45825024 is a wasteful number, since it uses less digits than its factorization.

45825024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2161 (or 2143 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 30.

The square root of 45825024 is about 6769.4182911089. The cubic root of 45825024 is about 357.8499001441.

Adding to 45825024 its reverse (42052854), we get a palindrome (87877878).

The spelling of 45825024 in words is "forty-five million, eight hundred twenty-five thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 512 672 768 896 1024 1344 1536 1792 2131 2688 3072 3584 4262 5376 6393 7168 8524 10752 12786 14917 17048 21504 25572 29834 34096 44751 51144 59668 68192 89502 102288 119336 136384 179004 204576 238672 272768 358008 409152 477344 545536 716016 818304 954688 1091072 1432032 1636608 1909376 2182144 2864064 3273216 3818752 5728128 6546432 7637504 11456256 15275008 22912512 45825024