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487204920 = 233257318539
BaseRepresentation
bin11101000010100…
…010100000111000
31020221202120111200
4131002202200320
51444211024140
6120202254200
715034113336
oct3502424070
91227676450
10487204920
112300182a4
121171b7360
1379c25247
14489c4b56
152cb8c030
hex1d0a2838

487204920 has 96 divisors (see below), whose sum is σ = 1605193200. Its totient is φ = 128134656.

The previous prime is 487204909. The next prime is 487204933. The reversal of 487204920 is 29402784.

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 23 ways as a sum of consecutive naturals, for example, 17011 + ... + 35549.

Almost surely, 2487204920 is an apocalyptic number.

487204920 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 487204920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (802596600).

487204920 is an abundant number, since it is smaller than the sum of its proper divisors (1117988280).

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

487204920 is a wasteful number, since it uses less digits than its factorization.

487204920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18629 (or 18622 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 487204920 is about 22072.7189081907. The cubic root of 487204920 is about 786.8716317718.

The spelling of 487204920 in words is "four hundred eighty-seven million, two hundred four thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 73 90 120 146 180 219 292 360 365 438 584 657 730 876 1095 1314 1460 1752 2190 2628 2920 3285 4380 5256 6570 8760 13140 18539 26280 37078 55617 74156 92695 111234 148312 166851 185390 222468 278085 333702 370780 444936 556170 667404 741560 834255 1112340 1334808 1353347 1668510 2224680 2706694 3337020 4060041 5413388 6674040 6766735 8120082 10826776 12180123 13533470 16240164 20300205 24360246 27066940 32480328 40600410 48720492 54133880 60900615 81200820 97440984 121801230 162401640 243602460 487204920