Search a number
-
+
48846370272 = 2537599121349
BaseRepresentation
bin101101011111011110…
…000111010111100000
311200002012001201010220
4231133132013113200
51300014132322042
634234551123040
73346313203530
oct553736072740
9150065051126
1048846370272
1119796558a57
129572673480
1347b5a6279b
1425154314c0
15140d4688ec
hexb5f7875e0

48846370272 has 96 divisors (see below), whose sum is σ = 146784960000. Its totient is φ = 13932691968.

The previous prime is 48846370259. The next prime is 48846370273. The reversal of 48846370272 is 27207364884.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48846370273) 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, 341854 + ... + 463202.

It is an arithmetic number, because the mean of its divisors is an integer number (1529010000).

Almost surely, 248846370272 is an apocalyptic number.

48846370272 is a gapful number since it is divisible by the number (42) 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 48846370272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73392480000).

48846370272 is an abundant number, since it is smaller than the sum of its proper divisors (97938589728).

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

48846370272 is a wasteful number, since it uses less digits than its factorization.

48846370272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121968 (or 121960 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 51.

The spelling of 48846370272 in words is "forty-eight billion, eight hundred forty-six million, three hundred seventy thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 599 672 1198 1797 2396 3594 4193 4792 7188 8386 9584 12579 14376 16772 19168 25158 28752 33544 50316 57504 67088 100632 121349 134176 201264 242698 364047 402528 485396 728094 849443 970792 1456188 1698886 1941584 2548329 2912376 3397772 3883168 5096658 5824752 6795544 10193316 11649504 13591088 20386632 27182176 40773264 72688051 81546528 145376102 218064153 290752204 436128306 508816357 581504408 872256612 1017632714 1163008816 1526449071 1744513224 2035265428 2326017632 3052898142 3489026448 4070530856 6105796284 6978052896 8141061712 12211592568 16282123424 24423185136 48846370272