Search a number
-
+
4876048128 = 28371947737
BaseRepresentation
bin1001000101010001…
…01001011100000000
3110120211010220120010
410202220221130000
534441232020003
62123502344520
7231555503520
oct44250513400
913524126503
104876048128
112082447146
12b40b8b140
135c927cca3
14343837680
151d8120003
hex122a29700

4876048128 has 144 divisors (see below), whose sum is σ = 15612235520. Its totient is φ = 1319804928.

The previous prime is 4876048127. The next prime is 4876048153. The reversal of 4876048128 is 8218406784.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4876048127) 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 15 ways as a sum of consecutive naturals, for example, 78276 + ... + 126012.

Almost surely, 24876048128 is an apocalyptic number.

4876048128 is a gapful number since it is divisible by the number (48) 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 4876048128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7806117760).

4876048128 is an abundant number, since it is smaller than the sum of its proper divisors (10736187392).

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

4876048128 is a wasteful number, since it uses less digits than its factorization.

4876048128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47782 (or 47768 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 48.

The square root of 4876048128 is about 69828.7056159571. The cubic root of 4876048128 is about 1695.7272315571.

The spelling of 4876048128 in words is "four billion, eight hundred seventy-six million, forty-eight thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 32 38 42 48 56 57 64 76 84 96 112 114 128 133 152 168 192 224 228 256 266 304 336 384 399 448 456 532 608 672 768 798 896 912 1064 1216 1344 1596 1792 1824 2128 2432 2688 3192 3648 4256 4864 5376 6384 7296 8512 12768 14592 17024 25536 34048 47737 51072 95474 102144 143211 190948 286422 334159 381896 572844 668318 763792 907003 1002477 1145688 1336636 1527584 1814006 2004954 2291376 2673272 2721009 3055168 3628012 4009908 4582752 5346544 5442018 6110336 6349021 7256024 8019816 9165504 10693088 10884036 12220672 12698042 14512048 16039632 18331008 19047063 21386176 21768072 25396084 29024096 32079264 36662016 38094126 42772352 43536144 50792168 58048192 64158528 76188252 85544704 87072288 101584336 116096384 128317056 152376504 174144576 203168672 232192768 256634112 304753008 348289152 406337344 609506016 696578304 812674688 1219012032 1625349376 2438024064 4876048128