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48232080 = 24325135153
BaseRepresentation
bin1011011111111…
…1011010010000
310100202102222100
42313333122100
544321411310
64441440400
71123652211
oct267773220
9110672870
1048232080
1125253526
12141a0100
139cb97c0
146597408
15437aec0
hex2dff690

48232080 has 120 divisors (see below), whose sum is σ = 174473208. Its totient is φ = 11870208.

The previous prime is 48232061. The next prime is 48232097. The reversal of 48232080 is 8023284.

It can be written as a sum of positive squares in 4 ways, for example, as 1774224 + 46457856 = 1332^2 + 6816^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×482320802 = 4652667082252800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6784 + ... + 11936.

Almost surely, 248232080 is an apocalyptic number.

48232080 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 48232080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87236604).

48232080 is an abundant number, since it is smaller than the sum of its proper divisors (126241128).

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

48232080 is a wasteful number, since it uses less digits than its factorization.

48232080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5185 (or 5176 counting only the distinct ones).

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

The square root of 48232080 is about 6944.9319651095. The cubic root of 48232080 is about 364.0088956486.

It can be divided in two parts, 4823 and 2080, that added together give a triangular number (6903 = T117).

The spelling of 48232080 in words is "forty-eight million, two hundred thirty-two thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 30 36 39 40 45 48 52 60 65 72 78 80 90 104 117 120 130 144 156 180 195 208 234 240 260 312 360 390 468 520 585 624 720 780 936 1040 1170 1560 1872 2340 3120 4680 5153 9360 10306 15459 20612 25765 30918 41224 46377 51530 61836 66989 77295 82448 92754 103060 123672 133978 154590 185508 200967 206120 231885 247344 267956 309180 334945 371016 401934 412240 463770 535912 602901 618360 669890 742032 803868 927540 1004835 1071824 1205802 1236720 1339780 1607736 1855080 2009670 2411604 2679560 3014505 3215472 3710160 4019340 4823208 5359120 6029010 8038680 9646416 12058020 16077360 24116040 48232080