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2893474452 = 2231122637577
BaseRepresentation
bin1010110001110110…
…1110101010010100
321110122120201202110
42230131232222110
521411212140302
61155041111020
7131463061401
oct25435565224
97418521673
102893474452
111255322200
12689028470
133715c777b
141d63d72a8
1511e050b6c
hexac76ea94

2893474452 has 72 divisors (see below), whose sum is σ = 7450204608. Its totient is φ = 873361280.

The previous prime is 2893474411. The next prime is 2893474453. The reversal of 2893474452 is 2544743982.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2893474453) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 378088 + ... + 385664.

It is an arithmetic number, because the mean of its divisors is an integer number (103475064).

Almost surely, 22893474452 is an apocalyptic number.

2893474452 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2893474452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3725102304).

2893474452 is an abundant number, since it is smaller than the sum of its proper divisors (4556730156).

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

2893474452 is a wasteful number, since it uses less digits than its factorization.

2893474452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7869 (or 7856 counting only the distinct ones).

The product of its digits is 1935360, while the sum is 48.

The square root of 2893474452 is about 53791.0257570907. The cubic root of 2893474452 is about 1424.9727216693.

The spelling of 2893474452 in words is "two billion, eight hundred ninety-three million, four hundred seventy-four thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 121 132 242 263 363 484 526 726 789 1052 1452 1578 2893 3156 5786 7577 8679 11572 15154 17358 22731 30308 31823 34716 45462 63646 83347 90924 95469 127292 166694 190938 250041 333388 381876 500082 916817 1000164 1833634 1992751 2750451 3667268 3985502 5500902 5978253 7971004 11001804 11956506 21920261 23913012 43840522 65760783 87681044 131521566 241122871 263043132 482245742 723368613 964491484 1446737226 2893474452