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48742889440 = 2557281154877
BaseRepresentation
bin101101011001010011…
…010111011111100000
311122210222100100010111
4231121103113133200
51244311134430230
634220413141104
73343615503250
oct553123273740
9148728310114
1048742889440
11197430aa303
129543a8a794
13479a4a081b
1425057b5960
15140432792a
hexb594d77e0

48742889440 has 96 divisors (see below), whose sum is σ = 132075002304. Its totient is φ = 16652267520.

The previous prime is 48742889417. The next prime is 48742889441. The reversal of 48742889440 is 4498824784.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48742889441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 237282 + ... + 392158.

It is an arithmetic number, because the mean of its divisors is an integer number (1375781274).

Almost surely, 248742889440 is an apocalyptic number.

48742889440 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 48742889440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66037501152).

48742889440 is an abundant number, since it is smaller than the sum of its proper divisors (83332112864).

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

48742889440 is a wasteful number, since it uses less digits than its factorization.

48742889440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155180 (or 155172 counting only the distinct ones).

The product of its (nonzero) digits is 16515072, while the sum is 58.

The spelling of 48742889440 in words is "forty-eight billion, seven hundred forty-two million, eight hundred eighty-nine thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 281 560 562 1120 1124 1405 1967 2248 2810 3934 4496 5620 7868 8992 9835 11240 15736 19670 22480 31472 39340 44960 62944 78680 154877 157360 309754 314720 619508 774385 1084139 1239016 1548770 2168278 2478032 3097540 4336556 4956064 5420695 6195080 8673112 10841390 12390160 17346224 21682780 24780320 34692448 43365560 43520437 86731120 87040874 173462240 174081748 217602185 304643059 348163496 435204370 609286118 696326992 870408740 1218572236 1392653984 1523215295 1740817480 2437144472 3046430590 3481634960 4874288944 6092861180 6963269920 9748577888 12185722360 24371444720 48742889440