Search a number
-
+
48887280 = 24335131741
BaseRepresentation
bin1011101001111…
…1010111110000
310101222201202000
42322133113300
5100003343110
64503454000
71132351341
oct272372760
9111881660
1048887280
1125660812
1214457300
13a188ab0
1466c80c8
15445a1c0
hex2e9f5f0

48887280 has 160 divisors (see below), whose sum is σ = 181446720. Its totient is φ = 12026880.

The previous prime is 48887261. The next prime is 48887281. The reversal of 48887280 is 8278884.

It is a super-2 number, since 2×488872802 = 4779932291596800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48887281) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27210 + ... + 28950.

It is an arithmetic number, because the mean of its divisors is an integer number (1134042).

Almost surely, 248887280 is an apocalyptic number.

48887280 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 48887280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90723360).

48887280 is an abundant number, since it is smaller than the sum of its proper divisors (132559440).

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

48887280 is a wasteful number, since it uses less digits than its factorization.

48887280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1776 (or 1764 counting only the distinct ones).

The product of its (nonzero) digits is 229376, while the sum is 45.

The square root of 48887280 is about 6991.9439357020. The cubic root of 48887280 is about 365.6497590071.

The spelling of 48887280 in words is "forty-eight million, eight hundred eighty-seven thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 27 30 36 39 40 45 48 52 54 60 65 72 78 80 90 104 108 117 120 130 135 144 156 180 195 208 216 234 240 260 270 312 351 360 390 432 468 520 540 585 624 702 720 780 936 1040 1080 1170 1404 1560 1741 1755 1872 2160 2340 2808 3120 3482 3510 4680 5223 5616 6964 7020 8705 9360 10446 13928 14040 15669 17410 20892 22633 26115 27856 28080 31338 34820 41784 45266 47007 52230 62676 67899 69640 78345 83568 90532 94014 104460 113165 125352 135798 139280 156690 181064 188028 203697 208920 226330 235035 250704 271596 313380 339495 362128 376056 407394 417840 452660 470070 543192 611091 626760 678990 752112 814788 905320 940140 1018485 1086384 1222182 1253520 1357980 1629576 1810640 1880280 2036970 2444364 2715960 3055455 3259152 3760560 4073940 4888728 5431920 6110910 8147880 9777456 12221820 16295760 24443640 48887280