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48430080 = 2103251051
BaseRepresentation
bin1011100010111…
…1110000000000
310101010111120200
42320233300000
544344230310
64450005200
71125435366
oct270576000
9111114520
1048430080
1125379266
1214276800
13a05896a
146609636
1543b99c0
hex2e2fc00

48430080 has 132 divisors (see below), whose sum is σ = 167968632. Its totient is φ = 12902400.

The previous prime is 48430051. The next prime is 48430121. The reversal of 48430080 is 8003484.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 45555 + ... + 46605.

Almost surely, 248430080 is an apocalyptic number.

48430080 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 48430080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83984316).

48430080 is an abundant number, since it is smaller than the sum of its proper divisors (119538552).

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

48430080 is a wasteful number, since it uses less digits than its factorization.

48430080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1082 (or 1061 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 48430080 is about 6959.1723645847. The cubic root of 48430080 is about 364.5063195007.

It can be divided in two parts, 48 and 430080, that added together give a triangular number (430128 = T927).

The spelling of 48430080 in words is "forty-eight million, four hundred thirty thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 512 576 640 720 768 960 1024 1051 1152 1280 1440 1536 1920 2102 2304 2560 2880 3072 3153 3840 4204 4608 5120 5255 5760 6306 7680 8408 9216 9459 10510 11520 12612 15360 15765 16816 18918 21020 23040 25224 31530 33632 37836 42040 46080 47295 50448 63060 67264 75672 84080 94590 100896 126120 134528 151344 168160 189180 201792 252240 269056 302688 336320 378360 403584 504480 538112 605376 672640 756720 807168 1008960 1076224 1210752 1345280 1513440 1614336 2017920 2421504 2690560 3026880 3228672 4035840 4843008 5381120 6053760 8071680 9686016 12107520 16143360 24215040 48430080