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1319485728 = 253112634751
BaseRepresentation
bin100111010100101…
…1100000100100000
310101221211211010210
41032221130010200
510200242020403
6334533054120
744461305111
oct11651340440
93357754123
101319485728
116178a7180
12309a87340
1318049b2b2
14c7354208
157ac8db03
hex4ea5c120

1319485728 has 96 divisors (see below), whose sum is σ = 3793692672. Its totient is φ = 398240000.

The previous prime is 1319485697. The next prime is 1319485733. The reversal of 1319485728 is 8275849131.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 275353 + ... + 280103.

It is an arithmetic number, because the mean of its divisors is an integer number (39517632).

Almost surely, 21319485728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1319485728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1896846336).

1319485728 is an abundant number, since it is smaller than the sum of its proper divisors (2474206944).

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

1319485728 is a wasteful number, since it uses less digits than its factorization.

1319485728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5038 (or 5030 counting only the distinct ones).

The product of its digits is 483840, while the sum is 48.

The square root of 1319485728 is about 36324.7261242256. The cubic root of 1319485728 is about 1096.8188332730.

The spelling of 1319485728 in words is "one billion, three hundred nineteen million, four hundred eighty-five thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 263 264 352 526 528 789 1052 1056 1578 2104 2893 3156 4208 4751 5786 6312 8416 8679 9502 11572 12624 14253 17358 19004 23144 25248 28506 34716 38008 46288 52261 57012 69432 76016 92576 104522 114024 138864 152032 156783 209044 228048 277728 313566 418088 456096 627132 836176 1249513 1254264 1672352 2499026 2508528 3748539 4998052 5017056 7497078 9996104 13744643 14994156 19992208 27489286 29988312 39984416 41233929 54978572 59976624 82467858 109957144 119953248 164935716 219914288 329871432 439828576 659742864 1319485728