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4080284442 = 23613215273
BaseRepresentation
bin1111001100110100…
…0011001100011010
3101112100202221000000
43303031003030122
531324023100232
61512514353430
7203053563003
oct36315031432
911470687000
104080284442
11180423a103
1295a58b876
135004513c0
142a9c921aa
1518d33327c
hexf334331a

4080284442 has 56 divisors (see below), whose sum is σ = 9882368244. Its totient is φ = 1255466304.

The previous prime is 4080284441. The next prime is 4080284459. The reversal of 4080284442 is 2444820804.

4080284442 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 3042735921 + 1037548521 = 55161^2 + 32211^2 .

It is a super-2 number, since 2×40802844422 = 33297442255254502728, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4080284397 and 4080284406.

It is not an unprimeable number, because it can be changed into a prime (4080284441) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 88683 + ... + 126590.

Almost surely, 24080284442 is an apocalyptic number.

4080284442 is an abundant number, since it is smaller than the sum of its proper divisors (5802083802).

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

4080284442 is a wasteful number, since it uses less digits than its factorization.

4080284442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215306 (or 215291 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 36.

The square root of 4080284442 is about 63877.1042080024. The cubic root of 4080284442 is about 1597.9510807115.

The spelling of 4080284442 in words is "four billion, eighty million, two hundred eighty-four thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 81 117 162 234 243 351 486 702 729 1053 1458 2106 3159 6318 9477 18954 215273 430546 645819 1291638 1937457 2798549 3874914 5597098 5812371 8395647 11624742 16791294 17437113 25186941 34874226 50373882 52311339 75560823 104622678 151121646 156934017 226682469 313868034 453364938 680047407 1360094814 2040142221 4080284442