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485136384 = 21132812
BaseRepresentation
bin11100111010101…
…001100000000000
31020210212111000020
4130322221200000
51443143331014
6120050053440
715010406535
oct3472514000
91223774006
10485136384
11229935167
1211657a280
137967c865
1448606d8c
152c8ce1a9
hex1cea9800

485136384 has 72 divisors (see below), whose sum is σ = 1298000340. Its totient is φ = 161136640.

The previous prime is 485136383. The next prime is 485136433. The reversal of 485136384 is 483631584.

It is a super-2 number, since 2×4851363842 = 470714622161190912, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (485136383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1726324 + ... + 1726604.

Almost surely, 2485136384 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 485136384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (649000170).

485136384 is an abundant number, since it is smaller than the sum of its proper divisors (812863956).

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

485136384 is an frugal number, since it uses more digits than its factorization.

485136384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 587 (or 286 counting only the distinct ones).

The product of its digits is 276480, while the sum is 42.

The square root of 485136384 is about 22025.8117671063. The cubic root of 485136384 is about 785.7564396306.

The spelling of 485136384 in words is "four hundred eighty-five million, one hundred thirty-six thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 281 384 512 562 768 843 1024 1124 1536 1686 2048 2248 3072 3372 4496 6144 6744 8992 13488 17984 26976 35968 53952 71936 78961 107904 143872 157922 215808 236883 287744 315844 431616 473766 575488 631688 863232 947532 1263376 1726464 1895064 2526752 3790128 5053504 7580256 10107008 15160512 20214016 30321024 40428032 60642048 80856064 121284096 161712128 242568192 485136384