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485934720 = 2735733467
BaseRepresentation
bin11100111101101…
…100011010000000
31020212101001010020
4130331230122000
51443344402340
6120115133440
715020243205
oct3475543200
91225331106
10485934720
1122a32aa47
121168a4280
137989c04b
1448773cac
152c9da9d0
hex1cf6c680

485934720 has 128 divisors (see below), whose sum is σ = 1570587840. Its totient is φ = 127770624.

The previous prime is 485934677. The next prime is 485934733. The reversal of 485934720 is 27439584.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×4859347202 = 472265104202956800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 138427 + ... + 141893.

Almost surely, 2485934720 is an apocalyptic number.

485934720 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 485934720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (785293920).

485934720 is an abundant number, since it is smaller than the sum of its proper divisors (1084653120).

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

485934720 is a wasteful number, since it uses less digits than its factorization.

485934720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3562 (or 3550 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The square root of 485934720 is about 22043.9270548603. The cubic root of 485934720 is about 786.1872146292.

The spelling of 485934720 in words is "four hundred eighty-five million, nine hundred thirty-four thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 73 80 96 120 128 146 160 192 219 240 292 320 365 384 438 480 584 640 730 876 960 1095 1168 1460 1752 1920 2190 2336 2920 3467 3504 4380 4672 5840 6934 7008 8760 9344 10401 11680 13868 14016 17335 17520 20802 23360 27736 28032 34670 35040 41604 46720 52005 55472 69340 70080 83208 104010 110944 138680 140160 166416 208020 221888 253091 277360 332832 416040 443776 506182 554720 665664 759273 832080 1012364 1109440 1265455 1331328 1518546 1664160 2024728 2218880 2530910 3037092 3328320 3796365 4049456 5061820 6074184 6656640 7592730 8098912 10123640 12148368 15185460 16197824 20247280 24296736 30370920 32395648 40494560 48593472 60741840 80989120 97186944 121483680 161978240 242967360 485934720