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48930336 = 25327131867
BaseRepresentation
bin1011101010100…
…1111000100000
310102001220210200
42322221320200
5100011232321
64504425200
71132621020
oct272517040
9112056720
1048930336
11256900a4
1214478200
13a1a2580
1466d9a80
154467d26
hex2ea9e20

48930336 has 144 divisors (see below), whose sum is σ = 171347904. Its totient is φ = 12897792.

The previous prime is 48930283. The next prime is 48930347. The reversal of 48930336 is 63303984.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 48930336.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25275 + ... + 27141.

It is an arithmetic number, because the mean of its divisors is an integer number (1189916).

Almost surely, 248930336 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 48930336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85673952).

48930336 is an abundant number, since it is smaller than the sum of its proper divisors (122417568).

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

48930336 is a wasteful number, since it uses less digits than its factorization.

48930336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1903 (or 1892 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 48930336 is about 6995.0222301291. The cubic root of 48930336 is about 365.7570725144.

The spelling of 48930336 in words is "forty-eight million, nine hundred thirty thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 28 32 36 39 42 48 52 56 63 72 78 84 91 96 104 112 117 126 144 156 168 182 208 224 234 252 273 288 312 336 364 416 468 504 546 624 672 728 819 936 1008 1092 1248 1456 1638 1867 1872 2016 2184 2912 3276 3734 3744 4368 5601 6552 7468 8736 11202 13069 13104 14936 16803 22404 24271 26138 26208 29872 33606 39207 44808 48542 52276 59744 67212 72813 78414 89616 97084 104552 117621 134424 145626 156828 169897 179232 194168 209104 218439 235242 268848 291252 313656 339794 388336 418208 436878 470484 509691 537696 582504 627312 679588 776672 873756 940968 1019382 1165008 1254624 1359176 1529073 1747512 1881936 2038764 2330016 2718352 3058146 3495024 3763872 4077528 5436704 6116292 6990048 8155056 12232584 16310112 24465168 48930336