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1087923648 = 26371734679
BaseRepresentation
bin100000011011000…
…0110010111000000
32210211010020200110
41000312012113000
54212002024043
6255541551320
735650125030
oct10066062700
92724106613
101087923648
11509117159
12264415540
13144513006
14a46b78c0
156579cb33
hex40d865c0

1087923648 has 112 divisors (see below), whose sum is σ = 3309396480. Its totient is φ = 308972544.

The previous prime is 1087923631. The next prime is 1087923673. The reversal of 1087923648 is 8463297801.

It is a tau number, because it is divible by the number of its divisors (112).

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 = 1087923597 and 1087923606.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 230173 + ... + 234851.

Almost surely, 21087923648 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 1087923648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1654698240).

1087923648 is an abundant number, since it is smaller than the sum of its proper divisors (2221472832).

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

1087923648 is a wasteful number, since it uses less digits than its factorization.

1087923648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4874 (or 4864 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 48.

The square root of 1087923648 is about 32983.6876046327. The cubic root of 1087923648 is about 1028.4885765716.

The spelling of 1087923648 in words is "one billion, eighty-seven million, nine hundred twenty-three thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 173 192 224 336 346 448 519 672 692 1038 1211 1344 1384 2076 2422 2768 3633 4152 4679 4844 5536 7266 8304 9358 9688 11072 14037 14532 16608 18716 19376 28074 29064 32753 33216 37432 38752 56148 58128 65506 74864 77504 98259 112296 116256 131012 149728 196518 224592 232512 262024 299456 393036 449184 524048 786072 809467 898368 1048096 1572144 1618934 2096192 2428401 3144288 3237868 4856802 5666269 6288576 6475736 9713604 11332538 12951472 16998807 19427208 22665076 25902944 33997614 38854416 45330152 51805888 67995228 77708832 90660304 135990456 155417664 181320608 271980912 362641216 543961824 1087923648