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486217728 = 21135977
BaseRepresentation
bin11100111110110…
…001100000000000
31020212220102100000
4130332301200000
51443432431403
6120125200000
715022532253
oct3476614000
91225812300
10486217728
1122a503637
12116a00000
137996aac9
144880909a
152ca447a3
hex1cfb1800

486217728 has 144 divisors (see below), whose sum is σ = 1457787240. Its totient is φ = 161906688.

The previous prime is 486217709. The next prime is 486217757. The reversal of 486217728 is 827712684.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 497176 + ... + 498152.

Almost surely, 2486217728 is an apocalyptic number.

486217728 is a gapful number since it is divisible by the number (48) 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 486217728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (728893620).

486217728 is an abundant number, since it is smaller than the sum of its proper divisors (971569512).

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

486217728 is an frugal number, since it uses more digits than its factorization.

486217728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1014 (or 982 counting only the distinct ones).

The product of its digits is 301056, while the sum is 45.

The square root of 486217728 is about 22050.3453034187. The cubic root of 486217728 is about 786.3398099484.

The spelling of 486217728 in words is "four hundred eighty-six million, two hundred seventeen thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 256 288 324 384 432 486 512 576 648 768 864 972 977 1024 1152 1296 1536 1728 1944 1954 2048 2304 2592 2931 3072 3456 3888 3908 4608 5184 5862 6144 6912 7776 7816 8793 9216 10368 11724 13824 15552 15632 17586 18432 20736 23448 26379 27648 31104 31264 35172 41472 46896 52758 55296 62208 62528 70344 79137 82944 93792 105516 124416 125056 140688 158274 165888 187584 211032 237411 248832 250112 281376 316548 375168 422064 474822 497664 500224 562752 633096 750336 844128 949644 1000448 1125504 1266192 1500672 1688256 1899288 2000896 2251008 2532384 3001344 3376512 3798576 4502016 5064768 6002688 6753024 7597152 9004032 10129536 13506048 15194304 18008064 20259072 27012096 30388608 40518144 54024192 60777216 81036288 121554432 162072576 243108864 486217728