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1463123328 = 2735876491
BaseRepresentation
bin101011100110101…
…0111110110000000
310202222010100212220
41113031113312000
510444024421303
6401103451040
751154225452
oct12715276600
93688110786
101463123328
11690993237
12349bb6a80
131a4180264
14dc4642d2
15886b3053
hex57357d80

1463123328 has 64 divisors (see below), whose sum is σ = 3893641920. Its totient is φ = 486801920.

The previous prime is 1463123317. The next prime is 1463123401. The reversal of 1463123328 is 8233213641.

It is a tau number, because it is divible by the number of its divisors (64).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 222163 + ... + 228653.

It is an arithmetic number, because the mean of its divisors is an integer number (60838155).

Almost surely, 21463123328 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 1463123328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1946820960).

1463123328 is an abundant number, since it is smaller than the sum of its proper divisors (2430518592).

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

1463123328 is an equidigital number, since it uses as much as digits as its factorization.

1463123328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7095 (or 7083 counting only the distinct ones).

The product of its digits is 20736, while the sum is 33.

The square root of 1463123328 is about 38250.7951289905. The cubic root of 1463123328 is about 1135.2555792056.

Adding to 1463123328 its reverse (8233213641), we get a palindrome (9696336969).

The spelling of 1463123328 in words is "one billion, four hundred sixty-three million, one hundred twenty-three thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 587 1174 1761 2348 3522 4696 6491 7044 9392 12982 14088 18784 19473 25964 28176 37568 38946 51928 56352 75136 77892 103856 112704 155784 207712 225408 311568 415424 623136 830848 1246272 2492544 3810217 7620434 11430651 15240868 22861302 30481736 45722604 60963472 91445208 121926944 182890416 243853888 365780832 487707776 731561664 1463123328