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7242631272 = 2332100592101
BaseRepresentation
bin1101011111011000…
…11100100001101000
3200200202021210022200
412233230130201220
5104313103200042
63154402420200
7344323231032
oct65754344150
920622253280
107242631272
113087305088
1214a1661660
138b5668646
144c9c78c52
152c5c94c4c
hex1afb1c868

7242631272 has 24 divisors (see below), whose sum is σ = 19615459890. Its totient is φ = 2414210400.

The previous prime is 7242631259. The next prime is 7242631273. The reversal of 7242631272 is 2721362427.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 4604165316 + 2638465956 = 67854^2 + 51366^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (7242631273) 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, 50295979 + ... + 50296122.

Almost surely, 27242631272 is an apocalyptic number.

7242631272 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

7242631272 is an abundant number, since it is smaller than the sum of its proper divisors (12372828618).

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

7242631272 is a wasteful number, since it uses less digits than its factorization.

7242631272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100592113 (or 100592106 counting only the distinct ones).

The product of its digits is 56448, while the sum is 36.

The square root of 7242631272 is about 85103.6501684857. The cubic root of 7242631272 is about 1934.7823868412.

Adding to 7242631272 its reverse (2721362427), we get a palindrome (9963993699).

The spelling of 7242631272 in words is "seven billion, two hundred forty-two million, six hundred thirty-one thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 100592101 201184202 301776303 402368404 603552606 804736808 905328909 1207105212 1810657818 2414210424 3621315636 7242631272