Search a number
-
+
48938204448 = 2532724274903
BaseRepresentation
bin101101100100111100…
…011011110100100000
311200022120212100221200
4231210330123310200
51300211140020243
634252031321200
73351506605620
oct554474336440
9150276770850
1048938204448
1119833382371
129599380200
1347cbaa7533
1425236d8880
151416558ad3
hexb64f1bd20

48938204448 has 72 divisors (see below), whose sum is σ = 159049171008. Its totient is φ = 13982343552.

The previous prime is 48938204431. The next prime is 48938204461. The reversal of 48938204448 is 84440283984.

48938204448 is a `hidden beast` number, since 489 + 3 + 82 + 0 + 44 + 48 = 666.

48938204448 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 48938204394 and 48938204403.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12135436 + ... + 12139467.

It is an arithmetic number, because the mean of its divisors is an integer number (2209016264).

Almost surely, 248938204448 is an apocalyptic number.

48938204448 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

48938204448 is an abundant number, since it is smaller than the sum of its proper divisors (110110966560).

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

48938204448 is a wasteful number, since it uses less digits than its factorization.

48938204448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24274926 (or 24274915 counting only the distinct ones).

The product of its (nonzero) digits is 7077888, while the sum is 54.

The spelling of 48938204448 in words is "forty-eight billion, nine hundred thirty-eight million, two hundred four thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 24274903 48549806 72824709 97099612 145649418 169924321 194199224 218474127 291298836 339848642 388398448 436948254 509772963 582597672 679697284 776796896 873896508 1019545926 1165195344 1359394568 1529318889 1747793016 2039091852 2330390688 2718789136 3058637778 3495586032 4078183704 5437578272 6117275556 6991172064 8156367408 12234551112 16312734816 24469102224 48938204448