Search a number
-
+
48449880 = 23335113397
BaseRepresentation
bin1011100011010…
…0100101011000
310101011111202000
42320310211120
544400344010
64450241000
71125550203
oct270644530
9111144660
1048449880
1125392126
1214286160
13a06498b
14661293a
1543c07c0
hex2e34958

48449880 has 128 divisors (see below), whose sum is σ = 163339200. Its totient is φ = 12773376.

The previous prime is 48449857. The next prime is 48449887. The reversal of 48449880 is 8894484.

48449880 is a `hidden beast` number, since 4 + 84 + 498 + 80 = 666.

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 (48449887) 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, 121842 + ... + 122238.

Almost surely, 248449880 is an apocalyptic number.

48449880 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 48449880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81669600).

48449880 is an abundant number, since it is smaller than the sum of its proper divisors (114889320).

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

48449880 is a wasteful number, since it uses less digits than its factorization.

48449880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 530 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The square root of 48449880 is about 6960.5948021703. The cubic root of 48449880 is about 364.5559872677. Note that the first 3 decimals are identical.

The spelling of 48449880 in words is "forty-eight million, four hundred forty-nine thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 113 120 135 180 216 226 270 339 360 397 452 540 565 678 794 904 1017 1080 1130 1191 1356 1588 1695 1985 2034 2260 2382 2712 3051 3176 3390 3573 3970 4068 4520 4764 5085 5955 6102 6780 7146 7940 8136 9528 10170 10719 11910 12204 13560 14292 15255 15880 17865 20340 21438 23820 24408 28584 30510 35730 40680 42876 44861 47640 53595 61020 71460 85752 89722 107190 122040 134583 142920 179444 214380 224305 269166 358888 403749 428760 448610 538332 672915 807498 897220 1076664 1211247 1345830 1614996 1794440 2018745 2422494 2691660 3229992 4037490 4844988 5383320 6056235 8074980 9689976 12112470 16149960 24224940 48449880