Search a number
-
+
4398725408 = 257113157587
BaseRepresentation
bin1000001100010111…
…10011100100100000
3102100112222101212212
410012023303210200
533002033203113
62004251541252
7214001356220
oct40613634440
912315871785
104398725408
111957a69560
12a2915a828
13551407acc
142da2a6080
151ab2860a8
hex1062f3920

4398725408 has 96 divisors (see below), whose sum is σ = 11145351168. Its totient is φ = 1658476800.

The previous prime is 4398725341. The next prime is 4398725417. The reversal of 4398725408 is 8045278934.

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 15 ways as a sum of consecutive naturals, for example, 47591 + ... + 105177.

It is an arithmetic number, because the mean of its divisors is an integer number (116097408).

Almost surely, 24398725408 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 4398725408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5572675584).

4398725408 is an abundant number, since it is smaller than the sum of its proper divisors (6746625760).

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

4398725408 is a wasteful number, since it uses less digits than its factorization.

4398725408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57646 (or 57638 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 50.

The square root of 4398725408 is about 66322.8875125322. The cubic root of 4398725408 is about 1638.4842985966.

The spelling of 4398725408 in words is "four billion, three hundred ninety-eight million, seven hundred twenty-five thousand, four hundred eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 31 32 44 56 62 77 88 112 124 154 176 217 224 248 308 341 352 434 496 616 682 868 992 1232 1364 1736 2387 2464 2728 3472 4774 5456 6944 9548 10912 19096 38192 57587 76384 115174 230348 403109 460696 633457 806218 921392 1266914 1612436 1785197 1842784 2533828 3224872 3570394 4434199 5067656 6449744 7140788 8868398 10135312 12496379 12899488 14281576 17736796 19637167 20270624 24992758 28563152 35473592 39274334 49985516 57126304 70947184 78548668 99971032 137460169 141894368 157097336 199942064 274920338 314194672 399884128 549840676 628389344 1099681352 2199362704 4398725408