Search a number
-
+
4252618384 = 247374312381
BaseRepresentation
bin1111110101111001…
…1100111010010000
3101222101001101201121
43331132130322100
532202132242014
61541552212024
7210245442220
oct37536347220
911871041647
104252618384
111892546153
129a823a014
1352a06cb51
142c4b12080
1519d525124
hexfd79ce90

4252618384 has 80 divisors (see below), whose sum is σ = 9697522176. Its totient is φ = 1768435200.

The previous prime is 4252618367. The next prime is 4252618393. The reversal of 4252618384 is 4838162524.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 4252618384.

It is an unprimeable number.

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, 1784874 + ... + 1787254.

Almost surely, 24252618384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4252618384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4848761088).

4252618384 is an abundant number, since it is smaller than the sum of its proper divisors (5444903792).

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

4252618384 is a wasteful number, since it uses less digits than its factorization.

4252618384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2864 (or 2858 counting only the distinct ones).

The product of its digits is 368640, while the sum is 43.

The square root of 4252618384 is about 65212.1030484373. The cubic root of 4252618384 is about 1620.1384812779.

The spelling of 4252618384 in words is "four billion, two hundred fifty-two million, six hundred eighteen thousand, three hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 28 37 56 74 112 148 259 296 431 518 592 862 1036 1724 2072 2381 3017 3448 4144 4762 6034 6896 9524 12068 15947 16667 19048 24136 31894 33334 38096 48272 63788 66668 88097 111629 127576 133336 176194 223258 255152 266672 352388 446516 616679 704776 893032 1026211 1233358 1409552 1786064 2052422 2466716 4104844 4933432 7183477 8209688 9866864 14366954 16419376 28733908 37969807 57467816 75939614 114935632 151879228 265788649 303758456 531577298 607516912 1063154596 2126309192 4252618384