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45235440 = 2432562827
BaseRepresentation
bin1010110010001…
…1110011110000
310011010012100200
42230203303300
543040013230
64253315200
71056331515
oct254436360
9104105320
1045235440
1123597068
1213195b00
1394aa843
14601730c
153e88160
hex2b23cf0

45235440 has 60 divisors (see below), whose sum is σ = 151918104. Its totient is φ = 12062592.

The previous prime is 45235439. The next prime is 45235483. The reversal of 45235440 is 4453254.

45235440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (60).

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 11 ways as a sum of consecutive naturals, for example, 30694 + ... + 32133.

Almost surely, 245235440 is an apocalyptic number.

45235440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45235440 is an abundant number, since it is smaller than the sum of its proper divisors (106682664).

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

45235440 is a wasteful number, since it uses less digits than its factorization.

45235440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62846 (or 62837 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

The square root of 45235440 is about 6725.7297001887. The cubic root of 45235440 is about 356.3085739330.

Adding to 45235440 its reverse (4453254), we get a palindrome (49688694).

The spelling of 45235440 in words is "forty-five million, two hundred thirty-five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 62827 125654 188481 251308 314135 376962 502616 565443 628270 753924 942405 1005232 1130886 1256540 1507848 1884810 2261772 2513080 2827215 3015696 3769620 4523544 5026160 5654430 7539240 9047088 11308860 15078480 22617720 45235440