Search a number
-
+
48829338 = 23317431237
BaseRepresentation
bin1011101001000…
…1001110011010
310101212210021000
42322101032122
5100000014323
64502325430
71132020405
oct272211632
9111783230
1048829338
1125621228
1214429876
13a1685cc
1466b0d3c
154447e43
hex2e9139a

48829338 has 64 divisors (see below), whose sum is σ = 117659520. Its totient is φ = 14950656.

The previous prime is 48829279. The next prime is 48829351. The reversal of 48829338 is 83392884.

48829338 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 48829293 and 48829302.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38856 + ... + 40092.

It is an arithmetic number, because the mean of its divisors is an integer number (1838430).

Almost surely, 248829338 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48829338, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58829760).

48829338 is an abundant number, since it is smaller than the sum of its proper divisors (68830182).

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

48829338 is a wasteful number, since it uses less digits than its factorization.

48829338 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1308 (or 1302 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 48829338 is about 6987.7992243624. The cubic root of 48829338 is about 365.5052438828.

The spelling of 48829338 in words is "forty-eight million, eight hundred twenty-nine thousand, three hundred thirty-eight".

Divisors: 1 2 3 6 9 17 18 27 34 43 51 54 86 102 129 153 258 306 387 459 731 774 918 1161 1237 1462 2193 2322 2474 3711 4386 6579 7422 11133 13158 19737 21029 22266 33399 39474 42058 53191 63087 66798 106382 126174 159573 189261 319146 378522 478719 567783 904247 957438 1135566 1436157 1808494 2712741 2872314 5425482 8138223 16276446 24414669 48829338