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803366416 = 24179730449
BaseRepresentation
bin101111111000100…
…110011000010000
32001222200020112201
4233320212120100
53121130211131
6211414532544
725623334066
oct5770463020
92058606481
10803366416
11382530096
121a5067154
13ca591258
14789a4036
154a7de761
hex2fe26610

803366416 has 40 divisors (see below), whose sum is σ = 1665127800. Its totient is φ = 374145024.

The previous prime is 803366371. The next prime is 803366449. The reversal of 803366416 is 614663308.

It can be written as a sum of positive squares in 4 ways, for example, as 68956416 + 734410000 = 8304^2 + 27100^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11160 + ... + 41608.

It is an arithmetic number, because the mean of its divisors is an integer number (41628195).

Almost surely, 2803366416 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 803366416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (832563900).

803366416 is an abundant number, since it is smaller than the sum of its proper divisors (861761384).

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

803366416 is a wasteful number, since it uses less digits than its factorization.

803366416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30571 (or 30565 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 37.

The square root of 803366416 is about 28343.7191631585. The cubic root of 803366416 is about 929.6180710985.

The spelling of 803366416 in words is "eight hundred three million, three hundred sixty-six thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 17 34 68 97 136 194 272 388 776 1552 1649 3298 6596 13192 26384 30449 60898 121796 243592 487184 517633 1035266 2070532 2953553 4141064 5907106 8282128 11814212 23628424 47256848 50210401 100420802 200841604 401683208 803366416