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484472820 = 2235133716787
BaseRepresentation
bin11100111000000…
…111011111110100
31020202121202202210
4130320013133310
51443011112240
6120023533420
715001644126
oct3470073764
91222552683
10484472820
11229521667
121162ba270
13794a9810
14484b3216
152c7ec780
hex1ce077f4

484472820 has 96 divisors (see below), whose sum is σ = 1500444288. Its totient is φ = 116024832.

The previous prime is 484472809. The next prime is 484472827. The reversal of 484472820 is 28274484.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (484472827) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20467 + ... + 37253.

It is an arithmetic number, because the mean of its divisors is an integer number (15629628).

Almost surely, 2484472820 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 484472820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (750222144).

484472820 is an abundant number, since it is smaller than the sum of its proper divisors (1015971468).

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

484472820 is a wasteful number, since it uses less digits than its factorization.

484472820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16849 (or 16847 counting only the distinct ones).

The product of its (nonzero) digits is 114688, while the sum is 39.

The square root of 484472820 is about 22010.7432859502. The cubic root of 484472820 is about 785.3980266113.

The spelling of 484472820 in words is "four hundred eighty-four million, four hundred seventy-two thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 37 39 52 60 65 74 78 111 130 148 156 185 195 222 260 370 390 444 481 555 740 780 962 1110 1443 1924 2220 2405 2886 4810 5772 7215 9620 14430 16787 28860 33574 50361 67148 83935 100722 167870 201444 218231 251805 335740 436462 503610 621119 654693 872924 1007220 1091155 1242238 1309386 1863357 2182310 2484476 2618772 3105595 3273465 3726714 4364620 6211190 6546930 7453428 8074547 9316785 12422380 13093860 16149094 18633570 24223641 32298188 37267140 40372735 48447282 80745470 96894564 121118205 161490940 242236410 484472820