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486948864 = 21439907
BaseRepresentation
bin11101000001100…
…100000000000000
31020221021120021010
4131001210000000
51444124330424
6120153000520
715031665663
oct3501440000
91227246233
10486948864
1122a962986
121170b3140
1379b6582c
14489596da
152cb3b229
hex1d064000

486948864 has 60 divisors (see below), whose sum is σ = 1298621744. Its totient is φ = 162299904.

The previous prime is 486948863. The next prime is 486948871. The reversal of 486948864 is 468849684.

It is not an unprimeable number, because it can be changed into a prime (486948863) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 44199 + ... + 54105.

Almost surely, 2486948864 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 486948864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (649310872).

486948864 is an abundant number, since it is smaller than the sum of its proper divisors (811672880).

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

486948864 is an frugal number, since it uses more digits than its factorization.

486948864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9938 (or 9912 counting only the distinct ones).

The product of its digits is 10616832, while the sum is 57.

The square root of 486948864 is about 22066.9178636256. The cubic root of 486948864 is about 786.7337578835.

The spelling of 486948864 in words is "four hundred eighty-six million, nine hundred forty-eight thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 2048 3072 4096 6144 8192 9907 12288 16384 19814 24576 29721 39628 49152 59442 79256 118884 158512 237768 317024 475536 634048 951072 1268096 1902144 2536192 3804288 5072384 7608576 10144768 15217152 20289536 30434304 40579072 60868608 81158144 121737216 162316288 243474432 486948864