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803512064 = 2831103983
BaseRepresentation
bin101111111001001…
…001111100000000
32001222221122100002
4233321021330000
53121144341224
6211422015132
725624511525
oct5771117400
92058848302
10803512064
1138261a563
121a51174a8
13ca612634
1478a0114c
154a81c9ae
hex2fe49f00

803512064 has 72 divisors (see below), whose sum is σ = 1673398272. Its totient is φ = 384629760.

The previous prime is 803512063. The next prime is 803512067. The reversal of 803512064 is 460215308.

803512064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (803512063) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 816917 + ... + 817899.

Almost surely, 2803512064 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 803512064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (836699136).

803512064 is an abundant number, since it is smaller than the sum of its proper divisors (869886208).

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

803512064 is a wasteful number, since it uses less digits than its factorization.

803512064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1133 (or 1119 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

The square root of 803512064 is about 28346.2883637347. The cubic root of 803512064 is about 929.6742467234.

The spelling of 803512064 in words is "eight hundred three million, five hundred twelve thousand, sixty-four".

Divisors: 1 2 4 8 16 31 32 62 64 103 124 128 206 248 256 412 496 824 983 992 1648 1966 1984 3193 3296 3932 3968 6386 6592 7864 7936 12772 13184 15728 25544 26368 30473 31456 51088 60946 62912 101249 102176 121892 125824 202498 204352 243784 251648 404996 408704 487568 809992 817408 975136 1619984 1950272 3138719 3239968 3900544 6277438 6479936 7801088 12554876 12959872 25109752 25919744 50219504 100439008 200878016 401756032 803512064