Search a number
-
+
48104160 = 2535132593
BaseRepresentation
bin1011011110000…
…0001011100000
310100111221111120
42313200023200
544303313120
64435012240
71122610236
oct267401340
9110457446
1048104160
1125176405
121413a080
139c73500
146562956
154353140
hex2de02e0

48104160 has 144 divisors (see below), whose sum is σ = 164357424. Its totient is φ = 11821056.

The previous prime is 48104159. The next prime is 48104197. The reversal of 48104160 is 6140184.

It is a super-3 number, since 3×481041603 (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 48104160.

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 23 ways as a sum of consecutive naturals, for example, 80824 + ... + 81416.

It is an arithmetic number, because the mean of its divisors is an integer number (1141371).

Almost surely, 248104160 is an apocalyptic number.

48104160 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 48104160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82178712).

48104160 is an abundant number, since it is smaller than the sum of its proper divisors (116253264).

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

48104160 is a wasteful number, since it uses less digits than its factorization.

48104160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 637 (or 616 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 48104160 is about 6935.7162571720. The cubic root of 48104160 is about 363.6868054269.

The spelling of 48104160 in words is "forty-eight million, one hundred four thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 65 78 80 96 104 120 130 156 160 169 195 208 240 260 312 338 390 416 480 507 520 593 624 676 780 845 1014 1040 1186 1248 1352 1560 1690 1779 2028 2080 2372 2535 2704 2965 3120 3380 3558 4056 4744 5070 5408 5930 6240 6760 7116 7709 8112 8895 9488 10140 11860 13520 14232 15418 16224 17790 18976 20280 23127 23720 27040 28464 30836 35580 38545 40560 46254 47440 56928 61672 71160 77090 81120 92508 94880 100217 115635 123344 142320 154180 185016 200434 231270 246688 284640 300651 308360 370032 400868 462540 501085 601302 616720 740064 801736 925080 1002170 1202604 1233440 1503255 1603472 1850160 2004340 2405208 3006510 3206944 3700320 4008680 4810416 6013020 8017360 9620832 12026040 16034720 24052080 48104160