Search a number
-
+
485638944 = 25374331669
BaseRepresentation
bin11100111100100…
…100001100100000
31020211211000101120
4130330210030200
51443310421234
6120104532240
715014601660
oct3474441440
91224730346
10485638944
1122a1487aa
12116781080
13797c752b
14486d81a0
152c97d049
hex1cf24320

485638944 has 96 divisors (see below), whose sum is σ = 1461156480. Its totient is φ = 138350592.

The previous prime is 485638943. The next prime is 485638957. The reversal of 485638944 is 449836584.

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

It is not an unprimeable number, because it can be changed into a prime (485638943) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 290142 + ... + 291810.

It is an arithmetic number, because the mean of its divisors is an integer number (15220380).

Almost surely, 2485638944 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 485638944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (730578240).

485638944 is an abundant number, since it is smaller than the sum of its proper divisors (975517536).

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

485638944 is a wasteful number, since it uses less digits than its factorization.

485638944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2122 (or 2114 counting only the distinct ones).

The product of its digits is 3317760, while the sum is 51.

The square root of 485638944 is about 22037.2172471934. The cubic root of 485638944 is about 786.0276715908.

The spelling of 485638944 in words is "four hundred eighty-five million, six hundred thirty-eight thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 433 672 866 1299 1669 1732 2598 3031 3338 3464 5007 5196 6062 6676 6928 9093 10014 10392 11683 12124 13352 13856 18186 20028 20784 23366 24248 26704 35049 36372 40056 41568 46732 48496 53408 70098 72744 80112 93464 96992 140196 145488 160224 186928 280392 290976 373856 560784 722677 1121568 1445354 2168031 2890708 4336062 5058739 5781416 8672124 10117478 11562832 15176217 17344248 20234956 23125664 30352434 34688496 40469912 60704868 69376992 80939824 121409736 161879648 242819472 485638944