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472638240 = 2534536469
BaseRepresentation
bin11100001010111…
…110001100100000
31012221100111210000
4130022332030200
51431443410430
6114522140000
714466234024
oct3412761440
91187314700
10472638240
11222879118
12112351600
1376bc4bc9
1446ab2384
152b760e60
hex1c2be320

472638240 has 120 divisors (see below), whose sum is σ = 1668064860. Its totient is φ = 126033408.

The previous prime is 472638227. The next prime is 472638311. The reversal of 472638240 is 42836274.

It can be written as a sum of positive squares in 2 ways, for example, as 461906064 + 10732176 = 21492^2 + 3276^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a junction number, because it is equal to n+sod(n) for n = 472638195 and 472638204.

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 19 ways as a sum of consecutive naturals, for example, 5275 + ... + 31194.

Almost surely, 2472638240 is an apocalyptic number.

472638240 is a gapful number since it is divisible by the number (40) 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 472638240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (834032430).

472638240 is an abundant number, since it is smaller than the sum of its proper divisors (1195426620).

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

472638240 is a wasteful number, since it uses less digits than its factorization.

472638240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36496 (or 36479 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 472638240 is about 21740.2447088344. The cubic root of 472638240 is about 778.9500666419.

It can be divided in two parts, 472638 and 240, that added together give a triangular number (472878 = T972).

The spelling of 472638240 in words is "four hundred seventy-two million, six hundred thirty-eight thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 81 90 96 108 120 135 144 160 162 180 216 240 270 288 324 360 405 432 480 540 648 720 810 864 1080 1296 1440 1620 2160 2592 3240 4320 6480 12960 36469 72938 109407 145876 182345 218814 291752 328221 364690 437628 547035 583504 656442 729380 875256 984663 1094070 1167008 1312884 1458760 1641105 1750512 1969326 2188140 2625768 2917520 2953989 3282210 3501024 3938652 4376280 4923315 5251536 5835040 5907978 6564420 7877304 8752560 9846630 10503072 11815956 13128840 14769945 15754608 17505120 19693260 23631912 26257680 29539890 31509216 39386520 47263824 52515360 59079780 78773040 94527648 118159560 157546080 236319120 472638240