Search a number
-
+
2358048 = 253711229
BaseRepresentation
bin1000111111101100100000
311102210122010
420333230200
51100424143
6122312520
726020530
oct10775440
94383563
102358048
111370700
12958740
136473c4
144554c0
15318a33
hex23fb20

2358048 has 144 divisors (see below), whose sum is σ = 8043840. Its totient is φ = 591360.

The previous prime is 2358043. The next prime is 2358049. The reversal of 2358048 is 8408532.

2358048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (2358043) 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, 81298 + ... + 81326.

It is an arithmetic number, because the mean of its divisors is an integer number (55860).

22358048 is an apocalyptic number.

2358048 is a gapful number since it is divisible by the number (28) 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 2358048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4021920).

2358048 is an abundant number, since it is smaller than the sum of its proper divisors (5685792).

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

2358048 is a wasteful number, since it uses less digits than its factorization.

2358048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 2358048 is about 1535.5936962621. The cubic root of 2358048 is about 133.1018873671.

The spelling of 2358048 in words is "two million, three hundred fifty-eight thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 29 32 33 42 44 48 56 58 66 77 84 87 88 96 112 116 121 132 154 168 174 176 203 224 231 232 242 264 308 319 336 348 352 363 406 462 464 484 528 609 616 638 672 696 726 812 847 924 928 957 968 1056 1218 1232 1276 1392 1452 1624 1694 1848 1914 1936 2233 2436 2464 2541 2552 2784 2904 3248 3388 3509 3696 3828 3872 4466 4872 5082 5104 5808 6496 6699 6776 7018 7392 7656 8932 9744 10164 10208 10527 11616 13398 13552 14036 15312 17864 19488 20328 21054 24563 26796 27104 28072 30624 35728 40656 42108 49126 53592 56144 71456 73689 81312 84216 98252 107184 112288 147378 168432 196504 214368 294756 336864 393008 589512 786016 1179024 2358048