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485199072 = 25382311
BaseRepresentation
bin11100111010111…
…000110011100000
31020210222200000000
4130322320303200
51443202332242
6120051300000
715011060361
oct3472706340
91223880000
10485199072
11229978276
121165aa600
13796a2257
1448621b68
152c8e2a4c
hex1ceb8ce0

485199072 has 108 divisors (see below), whose sum is σ = 1433400696. Its totient is φ = 161663040.

The previous prime is 485199037. The next prime is 485199101. The reversal of 485199072 is 270991584.

485199072 is a `hidden beast` number, since 48 + 519 + 90 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (108).

It is a super-2 number, since 2×4851990722 = 470836278939322368, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 208797 + ... + 211107.

Almost surely, 2485199072 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 485199072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (716700348).

485199072 is an abundant number, since it is smaller than the sum of its proper divisors (948201624).

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

485199072 is an frugal number, since it uses more digits than its factorization.

485199072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2345 (or 2316 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The square root of 485199072 is about 22027.2347787915. The cubic root of 485199072 is about 785.7902826074.

The spelling of 485199072 in words is "four hundred eighty-five million, one hundred ninety-nine thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 324 432 486 648 729 864 972 1296 1458 1944 2187 2311 2592 2916 3888 4374 4622 5832 6561 6933 7776 8748 9244 11664 13122 13866 17496 18488 20799 23328 26244 27732 34992 36976 41598 52488 55464 62397 69984 73952 83196 104976 110928 124794 166392 187191 209952 221856 249588 332784 374382 499176 561573 665568 748764 998352 1123146 1497528 1684719 1996704 2246292 2995056 3369438 4492584 5054157 5990112 6738876 8985168 10108314 13477752 15162471 17970336 20216628 26955504 30324942 40433256 53911008 60649884 80866512 121299768 161733024 242599536 485199072