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45245024 = 2511177561
BaseRepresentation
bin1010110010011…
…0001001100000
310011010200111122
42230212021200
543040320044
64253431412
71056401456
oct254461140
9104120448
1045245024
11235a3290
121319b568
1394b2006
14601a9d6
153e8adee
hex2b26260

45245024 has 48 divisors (see below), whose sum is σ = 102903696. Its totient is φ = 19353600.

The previous prime is 45245021. The next prime is 45245029. The reversal of 45245024 is 42054254.

It is a super-2 number, since 2×452450242 = 4094224393521152, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 45244984 and 45245002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45245021) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2204 + ... + 9764.

It is an arithmetic number, because the mean of its divisors is an integer number (2143827).

Almost surely, 245245024 is an apocalyptic number.

45245024 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45245024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51451848).

45245024 is an abundant number, since it is smaller than the sum of its proper divisors (57658672).

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

45245024 is a wasteful number, since it uses less digits than its factorization.

45245024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7599 (or 7591 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 26.

The square root of 45245024 is about 6726.4421502010. The cubic root of 45245024 is about 356.3337357695. Note that the first 3 decimals are identical.

Adding to 45245024 its reverse (42054254), we get a palindrome (87299278).

The spelling of 45245024 in words is "forty-five million, two hundred forty-five thousand, twenty-four".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 68 88 136 176 187 272 352 374 544 748 1496 2992 5984 7561 15122 30244 60488 83171 120976 128537 166342 241952 257074 332684 514148 665368 1028296 1330736 1413907 2056592 2661472 2827814 4113184 5655628 11311256 22622512 45245024