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487051344 = 243213534909
BaseRepresentation
bin11101000001111…
…101000001010000
31020221110202211200
4131001331001100
51444141120334
6120155111200
715032603523
oct3501750120
91227422750
10487051344
1122aa2297a
12117142500
1379ba0380
1448984bba
152cb5b799
hex1d07d050

487051344 has 120 divisors (see below), whose sum is σ = 1495919880. Its totient is φ = 147004416.

The previous prime is 487051277. The next prime is 487051361. The reversal of 487051344 is 443150784.

It can be written as a sum of positive squares in 4 ways, for example, as 183873600 + 303177744 = 13560^2 + 17412^2 .

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 = 487051299 and 487051308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 96762 + ... + 101670.

It is an arithmetic number, because the mean of its divisors is an integer number (12465999).

Almost surely, 2487051344 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 487051344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (747959940).

487051344 is an abundant number, since it is smaller than the sum of its proper divisors (1008868536).

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

487051344 is a wasteful number, since it uses less digits than its factorization.

487051344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4989 (or 4980 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 487051344 is about 22069.2397694166. The cubic root of 487051344 is about 786.7889442534.

The spelling of 487051344 in words is "four hundred eighty-seven million, fifty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 53 72 78 104 106 117 144 156 159 208 212 234 312 318 424 468 477 624 636 689 848 936 954 1272 1378 1872 1908 2067 2544 2756 3816 4134 4909 5512 6201 7632 8268 9818 11024 12402 14727 16536 19636 24804 29454 33072 39272 44181 49608 58908 63817 78544 88362 99216 117816 127634 176724 191451 235632 255268 260177 353448 382902 510536 520354 574353 706896 765804 780531 1021072 1040708 1148706 1531608 1561062 2081416 2297412 2341593 3063216 3122124 3382301 4162832 4594824 4683186 6244248 6764602 9189648 9366372 10146903 12488496 13529204 18732744 20293806 27058408 30440709 37465488 40587612 54116816 60881418 81175224 121762836 162350448 243525672 487051344