Search a number
-
+
48441393800 = 23527921972
BaseRepresentation
bin101101000111010101…
…010000001010001000
311122000222000202212022
4231013111100022020
51243201444100200
634130443104012
73333265024232
oct550725201210
9148028022768
1048441393800
11195a89a4158
12947ab12008
13474cb9b037
1424b7733252
1513d7b20885
hexb47550288

48441393800 has 108 divisors (see below), whose sum is σ = 114651909855. Its totient is φ = 19034171520.

The previous prime is 48441393799. The next prime is 48441393823. The reversal of 48441393800 is 839314484.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 44624872516 + 3816521284 = 211246^2 + 61778^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=155630.

It is a super-3 number, since 3×484413938003 (a number of 33 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 245895302 + ... + 245895498.

Almost surely, 248441393800 is an apocalyptic number.

48441393800 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 48441393800

48441393800 is an abundant number, since it is smaller than the sum of its proper divisors (66210516055).

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

48441393800 is an equidigital number, since it uses as much as digits as its factorization.

48441393800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 568 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 44.

The spelling of 48441393800 in words is "forty-eight billion, four hundred forty-one million, three hundred ninety-three thousand, eight hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 79 100 158 197 200 316 394 395 632 788 790 985 1576 1580 1970 1975 3160 3940 3950 4925 6241 7880 7900 9850 12482 15563 15800 19700 24964 31126 31205 38809 39400 49928 62252 62410 77618 77815 124504 124820 155236 155630 156025 194045 249640 310472 311260 312050 388090 389075 622520 624100 776180 778150 970225 1229477 1248200 1552360 1556300 1940450 2458954 3065911 3112600 3880900 4917908 6131822 6147385 7761800 9835816 12263644 12294770 15329555 24527288 24589540 30659110 30736925 49179080 61318220 61473850 76647775 122636440 122947700 153295550 242206969 245895400 306591100 484413938 613182200 968827876 1211034845 1937655752 2422069690 4844139380 6055174225 9688278760 12110348450 24220696900 48441393800