Search a number
-
+
49840802400 = 2535227176631
BaseRepresentation
bin101110011010101111…
…100100101001100000
311202122111021002120110
4232122233210221200
51304033221134100
634521353211320
73413046554544
oct563257445140
9152574232513
1049840802400
111a156919594
1297ab700b40
134913aa056c
1425ab52da24
15146a8ea250
hexb9abe4a60

49840802400 has 144 divisors (see below), whose sum is σ = 162832578048. Its totient is φ = 13241664000.

The previous prime is 49840802393. The next prime is 49840802441. The reversal of 49840802400 is 420804894.

49840802400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 612085 + ... + 688715.

It is an arithmetic number, because the mean of its divisors is an integer number (1130781792).

Almost surely, 249840802400 is an apocalyptic number.

49840802400 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 49840802400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81416289024).

49840802400 is an abundant number, since it is smaller than the sum of its proper divisors (112991775648).

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

49840802400 is a wasteful number, since it uses less digits than its factorization.

49840802400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76925 (or 76912 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The spelling of 49840802400 in words is "forty-nine billion, eight hundred forty million, eight hundred two thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 150 160 200 240 271 300 400 480 542 600 800 813 1084 1200 1355 1626 2168 2400 2710 3252 4065 4336 5420 6504 6775 8130 8672 10840 13008 13550 16260 20325 21680 26016 27100 32520 40650 43360 54200 65040 76631 81300 108400 130080 153262 162600 216800 229893 306524 325200 383155 459786 613048 650400 766310 919572 1149465 1226096 1532620 1839144 1915775 2298930 2452192 3065240 3678288 3831550 4597860 5747325 6130480 7356576 7663100 9195720 11494650 12260960 15326200 18391440 20767001 22989300 30652400 36782880 41534002 45978600 61304800 62301003 83068004 91957200 103835005 124602006 166136008 183914400 207670010 249204012 311505015 332272016 415340020 498408024 519175025 623010030 664544032 830680040 996816048 1038350050 1246020060 1557525075 1661360080 1993632096 2076700100 2492040120 3115050150 3322720160 4153400200 4984080240 6230100300 8306800400 9968160480 12460200600 16613600800 24920401200 49840802400