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2427112038 = 231343216829
BaseRepresentation
bin1001000010101010…
…1100101001100110
320021011001001210110
42100222230221212
514432320041123
61040501233450
7114101053251
oct22052545146
96234031713
102427112038
11103605021a
12578a02886
132c8abc290
141904ba098
15e312e493
hex90aaca66

2427112038 has 48 divisors (see below), whose sum is σ = 5352343920. Its totient is φ = 729392832.

The previous prime is 2427112021. The next prime is 2427112091. The reversal of 2427112038 is 8302117242.

It is a junction number, because it is equal to n+sod(n) for n = 2427111996 and 2427112014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 135808 + ... + 152636.

It is an arithmetic number, because the mean of its divisors is an integer number (111507165).

Almost surely, 22427112038 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2427112038, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2676171960).

2427112038 is an abundant number, since it is smaller than the sum of its proper divisors (2925231882).

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

2427112038 is a wasteful number, since it uses less digits than its factorization.

2427112038 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16933 (or 16890 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 2427112038 is about 49265.7288386156. The cubic root of 2427112038 is about 1343.8886150340. Note that the first 3 decimals are identical.

The spelling of 2427112038 in words is "two billion, four hundred twenty-seven million, one hundred twelve thousand, thirty-eight".

Divisors: 1 2 3 6 13 26 39 43 78 86 129 258 559 1118 1677 1849 3354 3698 5547 11094 16829 24037 33658 48074 50487 72111 100974 144222 218777 437554 656331 723647 1312662 1447294 2170941 4341882 9407411 18814822 28222233 31116821 56444466 62233642 93350463 186700926 404518673 809037346 1213556019 2427112038