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486952992 = 25333731511
BaseRepresentation
bin11101000001100…
…101000000100000
31020221021202221000
4131001211000200
51444124443432
6120153032000
715032014011
oct3501450040
91227252830
10486952992
1122a965a99
121170b5600
1379b67686
144895b008
152cb3c57c
hex1d065020

486952992 has 96 divisors (see below), whose sum is σ = 1425029760. Its totient is φ = 161775360.

The previous prime is 486952933. The next prime is 486953021. The reversal of 486952992 is 299259684.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 321517 + ... + 323027.

It is an arithmetic number, because the mean of its divisors is an integer number (14844060).

Almost surely, 2486952992 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 486952992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (712514880).

486952992 is an abundant number, since it is smaller than the sum of its proper divisors (938076768).

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

486952992 is a wasteful number, since it uses less digits than its factorization.

486952992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1903 (or 1889 counting only the distinct ones).

The product of its digits is 2799360, while the sum is 54.

The square root of 486952992 is about 22067.0113971059. The cubic root of 486952992 is about 786.7359809970.

The spelling of 486952992 in words is "four hundred eighty-six million, nine hundred fifty-two thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 373 432 746 864 1119 1492 1511 2238 2984 3022 3357 4476 4533 5968 6044 6714 8952 9066 10071 11936 12088 13428 13599 17904 18132 20142 24176 26856 27198 35808 36264 40284 40797 48352 53712 54396 72528 80568 81594 107424 108792 145056 161136 163188 217584 322272 326376 435168 563603 652752 1127206 1305504 1690809 2254412 3381618 4508824 5072427 6763236 9017648 10144854 13526472 15217281 18035296 20289708 27052944 30434562 40579416 54105888 60869124 81158832 121738248 162317664 243476496 486952992