Search a number
-
+
48439095720 = 23352327136469
BaseRepresentation
bin101101000111001100…
…011111000110101000
311122000210201000111020
4231013030133012220
51243200402030340
634130321532440
73333236343261
oct550714370650
9148023630436
1048439095720
11195a7674614
12947a1a4120
13474c575022
1424b72d5968
1513d78199d0
hexb4731f1a8

48439095720 has 128 divisors (see below), whose sum is σ = 151714771200. Its totient is φ = 12349016064.

The previous prime is 48439095641. The next prime is 48439095739. The reversal of 48439095720 is 2759093484.

48439095720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7484646 + ... + 7491114.

It is an arithmetic number, because the mean of its divisors is an integer number (1185271650).

Almost surely, 248439095720 is an apocalyptic number.

48439095720 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 48439095720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75857385600).

48439095720 is an abundant number, since it is smaller than the sum of its proper divisors (103275675480).

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

48439095720 is a wasteful number, since it uses less digits than its factorization.

48439095720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9219 (or 9215 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 51.

The spelling of 48439095720 in words is "forty-eight billion, four hundred thirty-nine million, ninety-five thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 69 92 115 120 138 184 230 276 345 460 552 690 920 1380 2713 2760 5426 6469 8139 10852 12938 13565 16278 19407 21704 25876 27130 32345 32556 38814 40695 51752 54260 62399 64690 65112 77628 81390 97035 108520 124798 129380 148787 155256 162780 187197 194070 249596 258760 297574 311995 325560 374394 388140 446361 499192 595148 623990 743935 748788 776280 892722 935985 1190296 1247980 1487870 1497576 1785444 1871970 2231805 2495960 2975740 3570888 3743940 4463610 5951480 7487880 8927220 17550397 17854440 35100794 52651191 70201588 87751985 105302382 140403176 175503970 210604764 263255955 351007940 403659131 421209528 526511910 702015880 807318262 1053023820 1210977393 1614636524 2018295655 2106047640 2421954786 3229273048 4036591310 4843909572 6054886965 8073182620 9687819144 12109773930 16146365240 24219547860 48439095720