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483596640 = 25325418191
BaseRepresentation
bin11100110100110…
…001100101100000
31020200222020212200
4130310301211200
51442300043030
6115553053200
714661334512
oct3464614540
91220866780
10483596640
11228a8334a
12115b57200
1379260a77
1448325bb2
152c6c7d60
hex1cd31960

483596640 has 144 divisors (see below), whose sum is σ = 1690730496. Its totient is φ = 125798400.

The previous prime is 483596611. The next prime is 483596647. The reversal of 483596640 is 46695384.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (483596647) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 54945 + ... + 63135.

It is an arithmetic number, because the mean of its divisors is an integer number (11741184).

Almost surely, 2483596640 is an apocalyptic number.

483596640 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 483596640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (845365248).

483596640 is an abundant number, since it is smaller than the sum of its proper divisors (1207133856).

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

483596640 is a wasteful number, since it uses less digits than its factorization.

483596640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8253 (or 8242 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 483596640 is about 21990.8308165017. The cubic root of 483596640 is about 784.9242708939.

It can be divided in two parts, 4835 and 96640, that added together give a triangular number (101475 = T450).

The spelling of 483596640 in words is "four hundred eighty-three million, five hundred ninety-six thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 41 45 48 60 72 80 82 90 96 120 123 144 160 164 180 205 240 246 288 328 360 369 410 480 492 615 656 720 738 820 984 1230 1312 1440 1476 1640 1845 1968 2460 2952 3280 3690 3936 4920 5904 6560 7380 8191 9840 11808 14760 16382 19680 24573 29520 32764 40955 49146 59040 65528 73719 81910 98292 122865 131056 147438 163820 196584 245730 262112 294876 327640 335831 368595 393168 491460 589752 655280 671662 737190 786336 982920 1007493 1179504 1310560 1343324 1474380 1679155 1965840 2014986 2359008 2686648 2948760 3022479 3358310 3931680 4029972 5037465 5373296 5897520 6044958 6716620 8059944 10074930 10746592 11795040 12089916 13433240 15112395 16119888 20149860 24179832 26866480 30224790 32239776 40299720 48359664 53732960 60449580 80599440 96719328 120899160 161198880 241798320 483596640