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45021024 = 2532223701
BaseRepresentation
bin1010101110111…
…1011101100000
310010201022020100
42223233131200
543011133044
64244542400
71054446426
oct253573540
9103638210
1045021024
112345aa64
12130b1a00
139434079
145d9d116
153e44869
hex2aef760

45021024 has 72 divisors (see below), whose sum is σ = 128786112. Its totient is φ = 14918400.

The previous prime is 45021023. The next prime is 45021037. The reversal of 45021024 is 42012054.

45021024 is a `hidden beast` number, since 450 + 210 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 45020988 and 45021006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45021023) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 63874 + ... + 64574.

It is an arithmetic number, because the mean of its divisors is an integer number (1788696).

Almost surely, 245021024 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 45021024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64393056).

45021024 is an abundant number, since it is smaller than the sum of its proper divisors (83765088).

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

45021024 is a wasteful number, since it uses less digits than its factorization.

45021024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 940 (or 929 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 45021024 is about 6709.7707859509. The cubic root of 45021024 is about 355.7447145098.

Adding to 45021024 its reverse (42012054), we get a palindrome (87033078).

The spelling of 45021024 in words is "forty-five million, twenty-one thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 223 288 446 669 701 892 1338 1402 1784 2007 2103 2676 2804 3568 4014 4206 5352 5608 6309 7136 8028 8412 10704 11216 12618 16056 16824 21408 22432 25236 32112 33648 50472 64224 67296 100944 156323 201888 312646 468969 625292 937938 1250584 1406907 1875876 2501168 2813814 3751752 5002336 5627628 7503504 11255256 15007008 22510512 45021024