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893916416 = 28293472
BaseRepresentation
bin110101010010000…
…001010100000000
32022022001122210102
4311102001110000
53312320311131
6224411421532
731103110211
oct6522012400
92268048712
10893916416
114196576a8
1220b4548a8
13113276633
1486a15408
15537291cb
hex35481500

893916416 has 54 divisors (see below), whose sum is σ = 1851204810. Its totient is φ = 430302208.

The previous prime is 893916407. The next prime is 893916421. The reversal of 893916416 is 614619398.

It can be written as a sum of positive squares in only one way, i.e., 770617600 + 123298816 = 27760^2 + 11104^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2575955 + ... + 2576301.

Almost surely, 2893916416 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 893916416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (925602405).

893916416 is an abundant number, since it is smaller than the sum of its proper divisors (957288394).

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

893916416 is an frugal number, since it uses more digits than its factorization.

893916416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 739 (or 378 counting only the distinct ones).

The product of its digits is 279936, while the sum is 47.

The square root of 893916416 is about 29898.4350092108. The cubic root of 893916416 is about 963.3090438461.

The spelling of 893916416 in words is "eight hundred ninety-three million, nine hundred sixteen thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 256 347 464 694 928 1388 1856 2776 3712 5552 7424 10063 11104 20126 22208 40252 44416 80504 88832 120409 161008 240818 322016 481636 644032 963272 1288064 1926544 2576128 3491861 3853088 6983722 7706176 13967444 15412352 27934888 30824704 55869776 111739552 223479104 446958208 893916416