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830503504 = 24232638581
BaseRepresentation
bin110001100000000…
…111101001010000
32010212201221122001
4301200013221100
53200102103004
6214224323344
726403110005
oct6140075120
92125657561
10830503504
11396885636
121b2173554
131030a30bc
147c4298ac
154cda01a4
hex31807a50

830503504 has 40 divisors (see below), whose sum is σ = 1685642112. Its totient is φ = 395640960.

The previous prime is 830503483. The next prime is 830503559. The reversal of 830503504 is 405305038.

It is a congruent number.

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, 92494 + ... + 101074.

Almost surely, 2830503504 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 830503504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (842821056).

830503504 is an abundant number, since it is smaller than the sum of its proper divisors (855138608).

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

830503504 is a wasteful number, since it uses less digits than its factorization.

830503504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8875 (or 8869 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

The square root of 830503504 is about 28818.4576964139. The cubic root of 830503504 is about 939.9696323372.

The spelling of 830503504 in words is "eight hundred thirty million, five hundred three thousand, five hundred four".

Divisors: 1 2 4 8 16 23 46 92 184 263 368 526 1052 2104 4208 6049 8581 12098 17162 24196 34324 48392 68648 96784 137296 197363 394726 789452 1578904 2256803 3157808 4513606 9027212 18054424 36108848 51906469 103812938 207625876 415251752 830503504