Search a number
-
+
8425555248 = 24311210913309
BaseRepresentation
bin1111101100011001…
…11100010100110000
3210202012011112221210
413312030330110300
5114223420231443
63512020520120
7415536016005
oct76614742460
923665145853
108425555248
113634008400
121771850040
13a43761566
1459d0018ac
15344a5ac33
hex1f633c530

8425555248 has 120 divisors (see below), whose sum is σ = 24145937200. Its totient is φ = 2529584640.

The previous prime is 8425555231. The next prime is 8425555253.

8425555248 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 8425555197 and 8425555206.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 626418 + ... + 639726.

Almost surely, 28425555248 is an apocalyptic number.

8425555248 is a gapful number since it is divisible by the number (88) 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 8425555248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12072968600).

8425555248 is an abundant number, since it is smaller than the sum of its proper divisors (15720381952).

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

8425555248 is a wasteful number, since it uses less digits than its factorization.

8425555248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13451 (or 13434 counting only the distinct ones).

The product of its digits is 2560000, while the sum is 48.

The square root of 8425555248 is about 91790.8233321828. The cubic root of 8425555248 is about 2034.8520759289.

The spelling of 8425555248 in words is "eight billion, four hundred twenty-five million, five hundred fifty-five thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 109 121 132 176 218 242 264 327 363 436 484 528 654 726 872 968 1199 1308 1452 1744 1936 2398 2616 2904 3597 4796 5232 5808 7194 9592 13189 13309 14388 19184 26378 26618 28776 39567 39927 52756 53236 57552 79134 79854 105512 106472 146399 158268 159708 211024 212944 292798 316536 319416 439197 585596 633072 638832 878394 1171192 1450681 1610389 1756788 2342384 2901362 3220778 3513576 4352043 4831167 5802724 6441556 7027152 8704086 9662334 11605448 12883112 15957491 17408172 19324668 23210896 25766224 31914982 34816344 38649336 47872473 63829964 69632688 77298672 95744946 127659928 175532401 191489892 255319856 351064802 382979784 526597203 702129604 765959568 1053194406 1404259208 2106388812 2808518416 4212777624 8425555248