Search a number
-
+
1098520848 = 243223477057
BaseRepresentation
bin100000101111010…
…0001100100010000
32211120001122022100
41001132201210100
54222210131343
6301001040400
736136162455
oct10136414420
92746048270
101098520848
115140a4a77
12267a86100
13146783649
14a5c7582c
15666929d3
hex417a1910

1098520848 has 120 divisors (see below), whose sum is σ = 3276718848. Its totient is φ = 342752256.

The previous prime is 1098520847. The next prime is 1098520883. The reversal of 1098520848 is 8480258901.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1098520847) 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, 152136 + ... + 159192.

Almost surely, 21098520848 is an apocalyptic number.

1098520848 is a gapful number since it is divisible by the number (18) 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 1098520848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1638359424).

1098520848 is an abundant number, since it is smaller than the sum of its proper divisors (2178198000).

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

1098520848 is a wasteful number, since it uses less digits than its factorization.

1098520848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7141 (or 7132 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The square root of 1098520848 is about 33143.9413467982. The cubic root of 1098520848 is about 1031.8172111813.

The spelling of 1098520848 in words is "one billion, ninety-eight million, five hundred twenty thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 36 46 47 48 69 72 92 94 138 141 144 184 188 207 276 282 368 376 414 423 552 564 752 828 846 1081 1104 1128 1656 1692 2162 2256 3243 3312 3384 4324 6486 6768 7057 8648 9729 12972 14114 17296 19458 21171 25944 28228 38916 42342 51888 56456 63513 77832 84684 112912 127026 155664 162311 169368 254052 324622 331679 338736 486933 508104 649244 663358 973866 995037 1016208 1298488 1326716 1460799 1947732 1990074 2596976 2653432 2921598 2985111 3895464 3980148 5306864 5843196 5970222 7628617 7790928 7960296 11686392 11940444 15257234 15920592 22885851 23372784 23880888 30514468 45771702 47761776 61028936 68657553 91543404 122057872 137315106 183086808 274630212 366173616 549260424 1098520848