Search a number
-
+
48401290112 = 277372236547
BaseRepresentation
bin101101000100111100…
…010001001110000000
311121221011120021221112
4231010330101032000
51243111212240422
634122451342452
73332300114660
oct550474211600
9147834507845
1048401290112
11195882a270a
1294695b1a28
134744799246
1424b22941a0
1513d434cee2
hexb44f11380

48401290112 has 128 divisors (see below), whose sum is σ = 113702615040. Its totient is φ = 20089202688.

The previous prime is 48401290051. The next prime is 48401290139. The reversal of 48401290112 is 21109210484.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7389623 + ... + 7396169.

It is an arithmetic number, because the mean of its divisors is an integer number (888301680).

Almost surely, 248401290112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48401290112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56851307520).

48401290112 is an abundant number, since it is smaller than the sum of its proper divisors (65301324928).

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

48401290112 is a wasteful number, since it uses less digits than its factorization.

48401290112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6828 (or 6816 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 32.

The spelling of 48401290112 in words is "forty-eight billion, four hundred one million, two hundred ninety thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 37 56 64 74 112 128 148 223 224 259 296 446 448 518 592 892 896 1036 1184 1561 1784 2072 2368 3122 3568 4144 4736 6244 6547 7136 8251 8288 12488 13094 14272 16502 16576 24976 26188 28544 33004 33152 45829 49952 52376 57757 66008 91658 99904 104752 115514 132016 183316 199808 209504 231028 242239 264032 366632 419008 462056 484478 528064 733264 838016 924112 968956 1056128 1459981 1466528 1695673 1848224 1937912 2919962 2933056 3391346 3696448 3875824 5839924 5866112 6782692 7392896 7751648 10219867 11679848 13565384 15503296 20439734 23359696 27130768 31006592 40879468 46719392 54019297 54261536 81758936 93438784 108038594 108523072 163517872 186877568 216077188 217046144 327035744 378135079 432154376 654071488 756270158 864308752 1308142976 1512540316 1728617504 3025080632 3457235008 6050161264 6914470016 12100322528 24200645056 48401290112