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45212240 = 2453531601
BaseRepresentation
bin1010110001111…
…0001001010000
310011002000112102
42230132021100
543033242430
64253015532
71056204053
oct254361120
9104060472
1045212240
1123580697
12131845a8
1394a0108
14600ca9a
153e81345
hex2b1e250

45212240 has 40 divisors (see below), whose sum is σ = 105482088. Its totient is φ = 18022400.

The previous prime is 45212213. The next prime is 45212263. The reversal of 45212240 is 4221254.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 16224784 + 28987456 = 4028^2 + 5384^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

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, 27440 + ... + 29040.

Almost surely, 245212240 is an apocalyptic number.

45212240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45212240 is an abundant number, since it is smaller than the sum of its proper divisors (60269848).

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

45212240 is a wasteful number, since it uses less digits than its factorization.

45212240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1967 (or 1961 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The square root of 45212240 is about 6724.0047590703. The cubic root of 45212240 is about 356.2476499281.

Adding to 45212240 its reverse (4221254), we get a palindrome (49433494).

The spelling of 45212240 in words is "forty-five million, two hundred twelve thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 353 706 1412 1601 1765 2824 3202 3530 5648 6404 7060 8005 12808 14120 16010 25616 28240 32020 64040 128080 565153 1130306 2260612 2825765 4521224 5651530 9042448 11303060 22606120 45212240