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3628180256 = 251729229981
BaseRepresentation
bin1101100001000001…
…1010001100100000
3100100212001122122112
43120100122030200
524412303232011
61400004254452
7155624011001
oct33020321440
910325048575
103628180256
1115a2016588
128530a1428
1345a898a2c
14265c071a8
151637cb58b
hexd841a320

3628180256 has 48 divisors (see below), whose sum is σ = 7823987640. Its totient is φ = 1648496640.

The previous prime is 3628180229. The next prime is 3628180261. The reversal of 3628180256 is 6520818263.

It can be written as a sum of positive squares in 4 ways, for example, as 3626448400 + 1731856 = 60220^2 + 1316^2 .

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 99215 + ... + 130766.

Almost surely, 23628180256 is an apocalyptic number.

It is an amenable number.

3628180256 is an abundant number, since it is smaller than the sum of its proper divisors (4195807384).

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

3628180256 is a wasteful number, since it uses less digits than its factorization.

3628180256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230037 (or 230029 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 41.

The square root of 3628180256 is about 60234.3776924772. The cubic root of 3628180256 is about 1536.6075116051.

The spelling of 3628180256 in words is "three billion, six hundred twenty-eight million, one hundred eighty thousand, two hundred fifty-six".

Divisors: 1 2 4 8 16 17 29 32 34 58 68 116 136 232 272 464 493 544 928 986 1972 3944 7888 15776 229981 459962 919924 1839848 3679696 3909677 6669449 7359392 7819354 13338898 15638708 26677796 31277416 53355592 62554832 106711184 113380633 125109664 213422368 226761266 453522532 907045064 1814090128 3628180256