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485371392 = 29311231249
BaseRepresentation
bin11100111011100…
…010111000000000
31020211022102101020
4130323202320000
51443223341032
6120055105440
715012405642
oct3473427000
91224272336
10485371392
11229a85790
12116672280
137973280c
1448668892
152c928b2c
hex1cee2e00

485371392 has 160 divisors (see below), whose sum is σ = 1473120000. Its totient is φ = 140574720.

The previous prime is 485371391. The next prime is 485371417. The reversal of 485371392 is 293173584.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (485371391) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 387984 + ... + 389232.

It is an arithmetic number, because the mean of its divisors is an integer number (9207000).

Almost surely, 2485371392 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 485371392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (736560000).

485371392 is an abundant number, since it is smaller than the sum of its proper divisors (987748608).

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

485371392 is a wasteful number, since it uses less digits than its factorization.

485371392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1304 (or 1288 counting only the distinct ones).

The product of its digits is 181440, while the sum is 42.

The square root of 485371392 is about 22031.1459529458. The cubic root of 485371392 is about 785.8832969063.

It can be divided in two parts, 4853 and 71392, that added together give a triangular number (76245 = T390).

The spelling of 485371392 in words is "four hundred eighty-five million, three hundred seventy-one thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 23 24 32 33 44 46 48 64 66 69 88 92 96 128 132 138 176 184 192 253 256 264 276 352 368 384 506 512 528 552 704 736 759 768 1012 1056 1104 1249 1408 1472 1518 1536 2024 2112 2208 2498 2816 2944 3036 3747 4048 4224 4416 4996 5632 5888 6072 7494 8096 8448 8832 9992 11776 12144 13739 14988 16192 16896 17664 19984 24288 27478 28727 29976 32384 35328 39968 41217 48576 54956 57454 59952 64768 79936 82434 86181 97152 109912 114908 119904 129536 159872 164868 172362 194304 219824 229816 239808 315997 319744 329736 344724 388608 439648 459632 479616 631994 639488 659472 689448 879296 919264 947991 959232 1263988 1318944 1378896 1758592 1838528 1895982 1918464 2527976 2637888 2757792 3517184 3677056 3791964 5055952 5275776 5515584 7034368 7354112 7583928 10111904 10551552 11031168 14708224 15167856 20223808 21103104 22062336 30335712 40447616 44124672 60671424 80895232 121342848 161790464 242685696 485371392