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2148285048 = 2337213140521
BaseRepresentation
bin1000000000001100…
…0011101001111000
312112201101012001220
42000003003221320
513344430110143
6553101112040
7104144056500
oct20003035170
95481335056
102148285048
11a02718398
124bb558620
132830c57b0
14165458a00
15c8903d83
hex800c3a78

2148285048 has 96 divisors (see below), whose sum is σ = 6728193360. Its totient is φ = 566576640.

The previous prime is 2148285043. The next prime is 2148285067. The reversal of 2148285048 is 8405828412.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2148285043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54973 + ... + 85548.

Almost surely, 22148285048 is an apocalyptic number.

2148285048 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2148285048 is an abundant number, since it is smaller than the sum of its proper divisors (4579908312).

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

2148285048 is a wasteful number, since it uses less digits than its factorization.

2148285048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140557 (or 140546 counting only the distinct ones).

The product of its (nonzero) digits is 163840, while the sum is 42.

The square root of 2148285048 is about 46349.5959852942. The cubic root of 2148285048 is about 1290.3196227417.

The spelling of 2148285048 in words is "two billion, one hundred forty-eight million, two hundred eighty-five thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 49 52 56 78 84 91 98 104 147 156 168 182 196 273 294 312 364 392 546 588 637 728 1092 1176 1274 1911 2184 2548 3822 5096 7644 15288 140521 281042 421563 562084 843126 983647 1124168 1686252 1826773 1967294 2950941 3372504 3653546 3934588 5480319 5901882 6885529 7307092 7869176 10960638 11803764 12787411 13771058 14614184 20656587 21921276 23607528 25574822 27542116 38362233 41313174 43842552 51149644 55084232 76724466 82626348 89511877 102299288 153448932 165252696 179023754 268535631 306897864 358047508 537071262 716095016 1074142524 2148285048