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2687475856 = 241345881
BaseRepresentation
bin1010000000101111…
…1010000010010000
320221021221220210211
42200023322002100
521000443211411
61122401533504
7123412111402
oct24013720220
96837856724
102687475856
11115a01242a
12630044294
1333aa20000
141b6cd2b72
1510ae0e221
hexa02fa090

2687475856 has 50 divisors (see below), whose sum is σ = 5641843822. Its totient is φ = 1240162560.

The previous prime is 2687475853. The next prime is 2687475887. The reversal of 2687475856 is 6585747862.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 1881824400 + 805651456 = 43380^2 + 28384^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2687475856.

It is not an unprimeable number, because it can be changed into a prime (2687475853) 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 9 ways as a sum of consecutive naturals, for example, 454036 + ... + 459916.

Almost surely, 22687475856 is an apocalyptic number.

2687475856 is a gapful number since it is divisible by the number (26) 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 2687475856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2820921911).

2687475856 is an abundant number, since it is smaller than the sum of its proper divisors (2954367966).

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

2687475856 is an frugal number, since it uses more digits than its factorization.

2687475856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5941 (or 5896 counting only the distinct ones).

The product of its digits is 22579200, while the sum is 58.

The square root of 2687475856 is about 51840.8705173823. The cubic root of 2687475856 is about 1390.3202781458.

The spelling of 2687475856 in words is "two billion, six hundred eighty-seven million, four hundred seventy-five thousand, eight hundred fifty-six".

Divisors: 1 2 4 8 13 16 26 52 104 169 208 338 676 1352 2197 2704 4394 5881 8788 11762 17576 23524 28561 35152 47048 57122 76453 94096 114244 152906 228488 305812 456976 611624 993889 1223248 1987778 3975556 7951112 12920557 15902224 25841114 51682228 103364456 167967241 206728912 335934482 671868964 1343737928 2687475856