Search a number
-
+
485518080 = 2835592143
BaseRepresentation
bin11100111100000…
…110101100000000
31020211120212121010
4130330012230000
51443243034310
6120102200520
715013556415
oct3474065400
91224525533
10485518080
1122a075a13
12116723140
1379784508
14486a610c
152c957320
hex1cf06b00

485518080 has 144 divisors (see below), whose sum is σ = 1577640960. Its totient is φ = 127217664.

The previous prime is 485518067. The next prime is 485518081. The reversal of 485518080 is 80815584.

It is not an unprimeable number, because it can be changed into a prime (485518081) 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, 225489 + ... + 227631.

It is an arithmetic number, because the mean of its divisors is an integer number (10955840).

Almost surely, 2485518080 is an apocalyptic number.

485518080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 485518080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (788820480).

485518080 is an abundant number, since it is smaller than the sum of its proper divisors (1092122880).

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

485518080 is a wasteful number, since it uses less digits than its factorization.

485518080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2226 (or 2212 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 39.

The square root of 485518080 is about 22034.4748065390. The cubic root of 485518080 is about 785.9624583070.

The spelling of 485518080 in words is "four hundred eighty-five million, five hundred eighteen thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 59 60 64 80 96 118 120 128 160 177 192 236 240 256 295 320 354 384 472 480 590 640 708 768 885 944 960 1180 1280 1416 1770 1888 1920 2143 2360 2832 3540 3776 3840 4286 4720 5664 6429 7080 7552 8572 9440 10715 11328 12858 14160 15104 17144 18880 21430 22656 25716 28320 32145 34288 37760 42860 45312 51432 56640 64290 68576 75520 85720 102864 113280 126437 128580 137152 171440 205728 226560 252874 257160 274304 342880 379311 411456 505748 514320 548608 632185 685760 758622 822912 1011496 1028640 1264370 1371520 1517244 1645824 1896555 2022992 2057280 2528740 2743040 3034488 3793110 4045984 4114560 5057480 6068976 7586220 8091968 8229120 10114960 12137952 15172440 16183936 20229920 24275904 30344880 32367872 40459840 48551808 60689760 80919680 97103616 121379520 161839360 242759040 485518080