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1148208048 = 24351322717
BaseRepresentation
bin100010001110000…
…0100001110110000
32222000120000100000
41010130010032300
54322420124143
6305534030000
740311415221
oct10434041660
92860500300
101148208048
1153a151779
12280648300
13153b5c560
14ac6cb248
156ac09bd3
hex447043b0

1148208048 has 120 divisors (see below), whose sum is σ = 3588898768. Its totient is φ = 353279232.

The previous prime is 1148208043. The next prime is 1148208137. The reversal of 1148208048 is 8408028411.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1148208043) 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, 39186 + ... + 61902.

Almost surely, 21148208048 is an apocalyptic number.

1148208048 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 1148208048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1794449384).

1148208048 is an abundant number, since it is smaller than the sum of its proper divisors (2440690720).

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

1148208048 is a wasteful number, since it uses less digits than its factorization.

1148208048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22753 (or 22735 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

The square root of 1148208048 is about 33885.2187243937. The cubic root of 1148208048 is about 1047.1450936431.

The spelling of 1148208048 in words is "one billion, one hundred forty-eight million, two hundred eight thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 81 104 108 117 144 156 162 208 216 234 243 312 324 351 432 468 486 624 648 702 936 972 1053 1296 1404 1872 1944 2106 2808 3159 3888 4212 5616 6318 8424 12636 16848 22717 25272 45434 50544 68151 90868 136302 181736 204453 272604 295321 363472 408906 545208 590642 613359 817812 885963 1090416 1181284 1226718 1635624 1771926 1840077 2362568 2453436 2657889 3271248 3543852 3680154 4725136 4906872 5315778 5520231 7087704 7360308 7973667 9813744 10631556 11040462 14175408 14720616 15947334 21263112 22080924 23921001 29441232 31894668 42526224 44161848 47842002 63789336 71763003 88323696 95684004 127578672 143526006 191368008 287052012 382736016 574104024 1148208048