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2782046052 = 2232233359959
BaseRepresentation
bin1010010111010010…
…1010011101100100
321011212220120201200
42211310222131210
521144200433202
61140020522500
7125641000302
oct24564523544
97155816650
102782046052
1111a8435415
12657850430
133544b21c6
141c56ad272
1511438ee1c
hexa5d2a764

2782046052 has 36 divisors (see below), whose sum is σ = 7338152640. Its totient is φ = 887028912.

The previous prime is 2782046011. The next prime is 2782046053. The reversal of 2782046052 is 2506402872.

2782046052 is a `hidden beast` number, since 27 + 8 + 20 + 4 + 605 + 2 = 666.

2782046052 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2782045998 and 2782046016.

It is not an unprimeable number, because it can be changed into a prime (2782046053) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1679152 + ... + 1680807.

Almost surely, 22782046052 is an apocalyptic number.

It is an amenable number.

2782046052 is an abundant number, since it is smaller than the sum of its proper divisors (4556106588).

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

2782046052 is a wasteful number, since it uses less digits than its factorization.

2782046052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3359992 (or 3359987 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 2782046052 is about 52745.1045311316. The cubic root of 2782046052 is about 1406.4407407523.

The spelling of 2782046052 in words is "two billion, seven hundred eighty-two million, forty-six thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 276 414 828 3359959 6719918 10079877 13439836 20159754 30239631 40319508 60479262 77279057 120958524 154558114 231837171 309116228 463674342 695511513 927348684 1391023026 2782046052