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1482416096 = 257471391013
BaseRepresentation
bin101100001011011…
…1101111111100000
310211022102112120212
41120112331333200
511013444303341
6403033153252
751510220550
oct13026757740
93738375525
101482416096
116a0870177
1235455b828
131a81767b5
14100c47160
158a2245eb
hex585bdfe0

1482416096 has 96 divisors (see below), whose sum is σ = 3434296320. Its totient is φ = 616720896.

The previous prime is 1482416093. The next prime is 1482416101. The reversal of 1482416096 is 6906142841.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1482416093) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1462886 + ... + 1463898.

It is an arithmetic number, because the mean of its divisors is an integer number (35773920).

Almost surely, 21482416096 is an apocalyptic number.

1482416096 is a gapful number since it is divisible by the number (16) 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 1482416096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1717148160).

1482416096 is an abundant number, since it is smaller than the sum of its proper divisors (1951880224).

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

1482416096 is a wasteful number, since it uses less digits than its factorization.

1482416096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1216 (or 1208 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 41.

The square root of 1482416096 is about 38502.1570304834. The cubic root of 1482416096 is about 1140.2236393093.

The spelling of 1482416096 in words is "one billion, four hundred eighty-two million, four hundred sixteen thousand, ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 47 56 94 112 139 188 224 278 329 376 556 658 752 973 1013 1112 1316 1504 1946 2026 2224 2632 3892 4052 4448 5264 6533 7091 7784 8104 10528 13066 14182 15568 16208 26132 28364 31136 32416 45731 47611 52264 56728 91462 95222 104528 113456 140807 182924 190444 209056 226912 281614 333277 365848 380888 563228 666554 731696 761776 985649 1126456 1333108 1463392 1523552 1971298 2252912 2666216 3942596 4505824 5332432 6617929 7885192 10664864 13235858 15770384 26471716 31540768 46325503 52943432 92651006 105886864 185302012 211773728 370604024 741208048 1482416096