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45229680 = 2432562819
BaseRepresentation
bin1010110010001…
…0011001110000
310011002220110100
42230202121300
543034322210
64253232400
71056305646
oct254423160
9104086410
1045229680
1123592801
1213192700
1394a8032
146015196
153e865c0
hex2b22670

45229680 has 60 divisors (see below), whose sum is σ = 151898760. Its totient is φ = 12061056.

The previous prime is 45229637. The next prime is 45229697. The reversal of 45229680 is 8692254.

It is a happy number.

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

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 11 ways as a sum of consecutive naturals, for example, 30690 + ... + 32129.

It is an arithmetic number, because the mean of its divisors is an integer number (2531646).

Almost surely, 245229680 is an apocalyptic number.

45229680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45229680 is an abundant number, since it is smaller than the sum of its proper divisors (106669080).

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

45229680 is a wasteful number, since it uses less digits than its factorization.

45229680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62838 (or 62829 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 45229680 is about 6725.3014802312. The cubic root of 45229680 is about 356.2934499174.

The spelling of 45229680 in words is "forty-five million, two hundred twenty-nine thousand, six hundred eighty".

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 62819 125638 188457 251276 314095 376914 502552 565371 628190 753828 942285 1005104 1130742 1256380 1507656 1884570 2261484 2512760 2826855 3015312 3769140 4522968 5025520 5653710 7538280 9045936 11307420 15076560 22614840 45229680