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4284390048 = 253174995261
BaseRepresentation
bin1111111101011110…
…1001101010100000
3102001120211120020220
43333113221222200
532233300440143
61545045203040
7211112500041
oct37727515240
912046746226
104284390048
1118a9476724
129b6a00480
13533815353
142c90228c8
151a11edd83
hexff5e9aa0

4284390048 has 96 divisors (see below), whose sum is σ = 11934216000. Its totient is φ = 1341173760.

The previous prime is 4284390043. The next prime is 4284390059. The reversal of 4284390048 is 8400934824.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 4284389991 and 4284390009.

It is not an unprimeable number, because it can be changed into a prime (4284390041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 811738 + ... + 816998.

It is an arithmetic number, because the mean of its divisors is an integer number (124314750).

Almost surely, 24284390048 is an apocalyptic number.

4284390048 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 4284390048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5967108000).

4284390048 is an abundant number, since it is smaller than the sum of its proper divisors (7649825952).

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

4284390048 is a wasteful number, since it uses less digits than its factorization.

4284390048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5790 (or 5782 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 42.

The square root of 4284390048 is about 65455.2522567899. The cubic root of 4284390048 is about 1624.1632044156.

The spelling of 4284390048 in words is "four billion, two hundred eighty-four million, three hundred ninety thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 408 499 544 816 998 1497 1632 1996 2994 3992 5261 5988 7984 8483 10522 11976 15783 15968 16966 21044 23952 25449 31566 33932 42088 47904 50898 63132 67864 84176 89437 101796 126264 135728 168352 178874 203592 252528 268311 271456 357748 407184 505056 536622 715496 814368 1073244 1430992 2146488 2625239 2861984 4292976 5250478 7875717 8585952 10500956 15751434 21001912 31502868 42003824 44629063 63005736 84007648 89258126 126011472 133887189 178516252 252022944 267774378 357032504 535548756 714065008 1071097512 1428130016 2142195024 4284390048