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1086431872 = 27295412
BaseRepresentation
bin100000011000001…
…1010001010000000
32210201022110100111
41000300122022000
54211111304442
6255450001104
735631342601
oct10060321200
92721273314
101086431872
11508298389
12263a16194
1314410ccc6
14a4409da8
15655a5b17
hex40c1a280

1086431872 has 48 divisors (see below), whose sum is σ = 2243155950. Its totient is φ = 523514880.

The previous prime is 1086431849. The next prime is 1086431891. The reversal of 1086431872 is 2781346801.

It can be written as a sum of positive squares in 3 ways, for example, as 851238976 + 235192896 = 29176^2 + 15336^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2007922 + ... + 2008462.

Almost surely, 21086431872 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 1086431872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1121577975).

1086431872 is an abundant number, since it is smaller than the sum of its proper divisors (1156724078).

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

1086431872 is an frugal number, since it uses more digits than its factorization.

1086431872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1125 (or 572 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 40.

The square root of 1086431872 is about 32961.0660021790. The cubic root of 1086431872 is about 1028.0182689401.

The spelling of 1086431872 in words is "one billion, eighty-six million, four hundred thirty-one thousand, eight hundred seventy-two".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 464 541 928 1082 1856 2164 3712 4328 8656 15689 17312 31378 34624 62756 69248 125512 251024 292681 502048 585362 1004096 1170724 2008192 2341448 4682896 8487749 9365792 16975498 18731584 33950996 37463168 67901992 135803984 271607968 543215936 1086431872