Search a number
-
+
48992012288 = 211672732
BaseRepresentation
bin101101101000001001…
…101100100000000000
311200110100010002102122
4231220021230200000
51300313423343123
634301232503412
73353032143032
oct555011544000
9150410102378
1048992012288
1119860793a5a
1295b33aab68
134809c96bab
14252a903c52
15141b136bc8
hexb6826c800

48992012288 has 108 divisors (see below), whose sum is σ = 100824923745. Its totient is φ = 23799840768.

The previous prime is 48992012263. The next prime is 48992012291. The reversal of 48992012288 is 88221029984.

It is a happy number.

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 2 ways, for example, as 48766772224 + 225240064 = 220832^2 + 15008^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=156512.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 671123420 + ... + 671123492.

Almost surely, 248992012288 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 48992012288

48992012288 is an abundant number, since it is smaller than the sum of its proper divisors (51832911457).

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

48992012288 is an frugal number, since it uses more digits than its factorization.

48992012288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 53.

The spelling of 48992012288 in words is "forty-eight billion, nine hundred ninety-two million, twelve thousand, two hundred eighty-eight".

Divisors: 1 2 4 8 16 32 64 67 73 128 134 146 256 268 292 512 536 584 1024 1072 1168 2048 2144 2336 4288 4489 4672 4891 5329 8576 8978 9344 9782 10658 17152 17956 18688 19564 21316 34304 35912 37376 39128 42632 68608 71824 74752 78256 85264 137216 143648 149504 156512 170528 287296 313024 327697 341056 357043 574592 626048 655394 682112 714086 1149184 1252096 1310788 1364224 1428172 2298368 2504192 2621576 2728448 2856344 4596736 5008384 5243152 5456896 5712688 9193472 10016768 10486304 10913792 11425376 20972608 22850752 23921881 41945216 45701504 47843762 83890432 91403008 95687524 167780864 182806016 191375048 335561728 365612032 382750096 671123456 731224064 765500192 1531000384 3062000768 6124001536 12248003072 24496006144 48992012288