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45027024 = 2437294621
BaseRepresentation
bin1010101111000…
…0111011010000
310010201121110120
42223300323100
543011331044
64245030240
71054503060
oct253607320
9103647416
1045027024
1123464519
12130b5380
139436a13
145da13a0
153e46519
hex2af0ed0

45027024 has 80 divisors (see below), whose sum is σ = 137550720. Its totient is φ = 12418560.

The previous prime is 45027019. The next prime is 45027043. The reversal of 45027024 is 42072054.

45027024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 45026985 and 45027003.

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 15 ways as a sum of consecutive naturals, for example, 7434 + ... + 12054.

It is an arithmetic number, because the mean of its divisors is an integer number (1719384).

Almost surely, 245027024 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 45027024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68775360).

45027024 is an abundant number, since it is smaller than the sum of its proper divisors (92523696).

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

45027024 is a wasteful number, since it uses less digits than its factorization.

45027024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4668 (or 4662 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 24.

The square root of 45027024 is about 6710.2178802182. The cubic root of 45027024 is about 355.7605173006.

Adding to 45027024 its reverse (42072054), we get a palindrome (87099078).

The spelling of 45027024 in words is "forty-five million, twenty-seven thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 29 42 48 56 58 84 87 112 116 168 174 203 232 336 348 406 464 609 696 812 1218 1392 1624 2436 3248 4621 4872 9242 9744 13863 18484 27726 32347 36968 55452 64694 73936 97041 110904 129388 134009 194082 221808 258776 268018 388164 402027 517552 536036 776328 804054 938063 1072072 1552656 1608108 1876126 2144144 2814189 3216216 3752252 5628378 6432432 7504504 11256756 15009008 22513512 45027024