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493744968 = 23326857569
BaseRepresentation
bin11101011011011…
…111001101001000
31021102001211202200
4131123133031020
52002344314333
6120554400200
715143522463
oct3533371510
91242054680
10493744968
112337849a2
12119430060
137b3a4cb2
14498082da
152d52ec13
hex1d6df348

493744968 has 24 divisors (see below), whose sum is σ = 1337226150. Its totient is φ = 164581632.

The previous prime is 493744961. The next prime is 493744987. The reversal of 493744968 is 869447394.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 393704964 + 100040004 = 19842^2 + 10002^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is not an unprimeable number, because it can be changed into a prime (493744961) 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 5 ways as a sum of consecutive naturals, for example, 3428713 + ... + 3428856.

Almost surely, 2493744968 is an apocalyptic number.

It is an amenable number.

493744968 is an abundant number, since it is smaller than the sum of its proper divisors (843481182).

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

493744968 is a wasteful number, since it uses less digits than its factorization.

493744968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6857581 (or 6857574 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 54.

The square root of 493744968 is about 22220.3728141541. The cubic root of 493744968 is about 790.3768794083.

The spelling of 493744968 in words is "four hundred ninety-three million, seven hundred forty-four thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 6857569 13715138 20572707 27430276 41145414 54860552 61718121 82290828 123436242 164581656 246872484 493744968