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2824680404 = 2271341189271
BaseRepresentation
bin1010100001011101…
…0011001111010100
321021212010122001202
42220113103033110
521241104233104
61144142412032
7126666246560
oct25027231724
97255118052
102824680404
11121a505217
12669b91018
1336028bb30
141cb20a6a0
15117eb251e
hexa85d33d4

2824680404 has 48 divisors (see below), whose sum is σ = 6232348416. Its totient is φ = 1090195200.

The previous prime is 2824680361. The next prime is 2824680409. The reversal of 2824680404 is 4040864282.

2824680404 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×28246804043 (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2824680409) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79712 + ... + 109559.

It is an arithmetic number, because the mean of its divisors is an integer number (129840592).

Almost surely, 22824680404 is an apocalyptic number.

It is an amenable number.

2824680404 is an abundant number, since it is smaller than the sum of its proper divisors (3407668012).

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

2824680404 is a wasteful number, since it uses less digits than its factorization.

2824680404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189336 (or 189334 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 38.

The square root of 2824680404 is about 53147.7224723694. The cubic root of 2824680404 is about 1413.5888329816.

The spelling of 2824680404 in words is "two billion, eight hundred twenty-four million, six hundred eighty thousand, four hundred four".

Divisors: 1 2 4 7 13 14 26 28 41 52 82 91 164 182 287 364 533 574 1066 1148 2132 3731 7462 14924 189271 378542 757084 1324897 2460523 2649794 4921046 5299588 7760111 9842092 15520222 17223661 31040444 34447322 54320777 68894644 100881443 108641554 201762886 217283108 403525772 706170101 1412340202 2824680404