Search a number
-
+
48450080 = 2557181239
BaseRepresentation
bin1011100011010…
…0101000100000
310101011112000102
42320310220200
544400400310
64450241532
71125550610
oct270645040
9111145012
1048450080
1125392298
12142862a8
13a064ab3
146612a40
1543c08a5
hex2e34a20

48450080 has 96 divisors (see below), whose sum is σ = 132088320. Its totient is φ = 16450560.

The previous prime is 48450079. The next prime is 48450107. The reversal of 48450080 is 8005484.

It is a congruent number.

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, 202601 + ... + 202839.

It is an arithmetic number, because the mean of its divisors is an integer number (1375920).

Almost surely, 248450080 is an apocalyptic number.

48450080 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 48450080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66044160).

48450080 is an abundant number, since it is smaller than the sum of its proper divisors (83638240).

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

48450080 is a wasteful number, since it uses less digits than its factorization.

48450080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 29.

The square root of 48450080 is about 6960.6091687438. The cubic root of 48450080 is about 364.5564888933.

The spelling of 48450080 in words is "forty-eight million, four hundred fifty thousand, eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 181 224 239 280 362 478 560 724 905 956 1120 1195 1267 1448 1673 1810 1912 2390 2534 2896 3346 3620 3824 4780 5068 5792 6335 6692 7240 7648 8365 9560 10136 12670 13384 14480 16730 19120 20272 25340 26768 28960 33460 38240 40544 43259 50680 53536 66920 86518 101360 133840 173036 202720 216295 267680 302813 346072 432590 605626 692144 865180 1211252 1384288 1514065 1730360 2422504 3028130 3460720 4845008 6056260 6921440 9690016 12112520 24225040 48450080