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3601920256 = 28114312
BaseRepresentation
bin1101011010110000…
…1111000100000000
3100022000122111200221
43112230033010000
524334042422011
61353225352424
7155154550144
oct32654170400
910260574627
103601920256
111589210000
12846338714
1345530317c
1426252d224
15161340971
hexd6b0f100

3601920256 has 135 divisors (see below), whose sum is σ = 8172047415. Its totient is φ = 1584422400.

The previous prime is 3601920251. The next prime is 3601920281. The reversal of 3601920256 is 6520291063.

The square root of 3601920256 is 60016.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3601920251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 116190961 + ... + 116190991.

Almost surely, 23601920256 is an apocalyptic number.

3601920256 is the 60016-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3601920256

3601920256 is an abundant number, since it is smaller than the sum of its proper divisors (4570127159).

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

3601920256 is an frugal number, since it uses more digits than its factorization.

3601920256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 34.

The cubic root of 3601920256 is about 1532.8913182549.

The spelling of 3601920256 in words is "three billion, six hundred one million, nine hundred twenty thousand, two hundred fifty-six".

Divisors: 1 2 4 8 11 16 22 31 32 44 62 64 88 121 124 128 176 242 248 256 341 352 484 496 682 704 961 968 992 1331 1364 1408 1922 1936 1984 2662 2728 2816 3751 3844 3872 3968 5324 5456 7502 7688 7744 7936 10571 10648 10912 14641 15004 15376 15488 21142 21296 21824 29282 30008 30752 30976 41261 42284 42592 43648 58564 60016 61504 82522 84568 85184 87296 116281 117128 120032 123008 165044 169136 170368 232562 234256 240064 246016 330088 338272 340736 453871 465124 468512 480128 660176 676544 907742 930248 937024 960256 1279091 1320352 1353088 1815484 1860496 1874048 2558182 2640704 2706176 3630968 3720992 3748096 5116364 5281408 7261936 7441984 10232728 10562816 14070001 14523872 14883968 20465456 28140002 29047744 29767936 40930912 56280004 58095488 81861824 112560008 116190976 163723648 225120016 327447296 450240032 900480064 1800960128 3601920256