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486615640 = 23576725939
BaseRepresentation
bin11101000000010…
…010101001011000
31020220122122011111
4131000102221120
51444033200030
6120141510104
715026110330
oct3500225130
91226578144
10486615640
1122a755595
12116b72334
1379a79c64
14488b00c0
152cac262a
hex1d012a58

486615640 has 64 divisors (see below), whose sum is σ = 1270022400. Its totient is φ = 164343168.

The previous prime is 486615583. The next prime is 486615653. The reversal of 486615640 is 46516684.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 486615593 and 486615602.

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 15 ways as a sum of consecutive naturals, for example, 5791 + ... + 31729.

It is an arithmetic number, because the mean of its divisors is an integer number (19844100).

Almost surely, 2486615640 is an apocalyptic number.

486615640 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 486615640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (635011200).

486615640 is an abundant number, since it is smaller than the sum of its proper divisors (783406760).

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

486615640 is a wasteful number, since it uses less digits than its factorization.

486615640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26024 (or 26020 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 40.

The square root of 486615640 is about 22059.3662646958. The cubic root of 486615640 is about 786.5542603284.

The spelling of 486615640 in words is "four hundred eighty-six million, six hundred fifteen thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 67 70 134 140 268 280 335 469 536 670 938 1340 1876 2345 2680 3752 4690 9380 18760 25939 51878 103756 129695 181573 207512 259390 363146 518780 726292 907865 1037560 1452584 1737913 1815730 3475826 3631460 6951652 7262920 8689565 12165391 13903304 17379130 24330782 34758260 48661564 60826955 69516520 97323128 121653910 243307820 486615640