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48999984 = 243111753103
BaseRepresentation
bin1011101011101…
…0111000110000
310102012110100020
42322322320300
5100020444414
64510123440
71133331045
oct272727060
9112173306
1048999984
1125728460
12144b0580
13a1c8197
1467171cc
15447d7a9
hex2ebae30

48999984 has 160 divisors (see below), whose sum is σ = 150418944. Its totient is φ = 13578240.

The previous prime is 48999983. The next prime is 48999989.

48999984 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (48999983) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 475677 + ... + 475779.

Almost surely, 248999984 is an apocalyptic number.

48999984 is a gapful number since it is divisible by the number (44) 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 48999984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75209472).

48999984 is an abundant number, since it is smaller than the sum of its proper divisors (101418960).

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

48999984 is a wasteful number, since it uses less digits than its factorization.

48999984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 189 counting only the distinct ones).

The product of its digits is 6718464, while the sum is 60.

The square root of 48999984 is about 6999.9988571428. The cubic root of 48999984 is about 365.9305311731.

The spelling of 48999984 in words is "forty-eight million, nine hundred ninety-nine thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 11 12 16 17 22 24 33 34 44 48 51 53 66 68 88 102 103 106 132 136 159 176 187 204 206 212 264 272 309 318 374 408 412 424 528 561 583 618 636 748 816 824 848 901 1122 1133 1166 1236 1272 1496 1648 1749 1751 1802 2244 2266 2332 2472 2544 2703 2992 3399 3498 3502 3604 4488 4532 4664 4944 5253 5406 5459 6798 6996 7004 7208 8976 9064 9328 9911 10506 10812 10918 13596 13992 14008 14416 16377 18128 19261 19822 21012 21624 21836 27192 27984 28016 29733 32754 38522 39644 42024 43248 43672 54384 57783 59466 60049 65508 77044 79288 84048 87344 92803 115566 118932 120098 131016 154088 158576 180147 185606 231132 237864 240196 262032 278409 308176 360294 371212 462264 475728 480392 556818 720588 742424 924528 960784 1020833 1113636 1441176 1484848 2041666 2227272 2882352 3062499 4083332 4454544 6124998 8166664 12249996 16333328 24499992 48999984