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4248920767 = 71323591649
BaseRepresentation
bin1111110101000001…
…0110001010111111
3101222010002112112211
43331100112022333
532200210431032
61541341041251
7210202142050
oct37520261277
911863075484
104248920767
111890450073
129a6b56227
13529376b00
142c442c727
1519d044747
hexfd4162bf

4248920767 has 12 divisors (see below), whose sum is σ = 5258175600. Its totient is φ = 3361782528.

The previous prime is 4248920749. The next prime is 4248920777. The reversal of 4248920767 is 7670298424.

It is a happy number.

It is not a de Polignac number, because 4248920767 - 215 = 4248887999 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 4248920767.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4248920707) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1794642 + ... + 1797007.

It is an arithmetic number, because the mean of its divisors is an integer number (438181300).

Almost surely, 24248920767 is an apocalyptic number.

4248920767 is a deficient number, since it is larger than the sum of its proper divisors (1009254833).

4248920767 is a wasteful number, since it uses less digits than its factorization.

4248920767 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3591682 (or 3591669 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 49.

The square root of 4248920767 is about 65183.7461872206. The cubic root of 4248920767 is about 1619.6687793857.

The spelling of 4248920767 in words is "four billion, two hundred forty-eight million, nine hundred twenty thousand, seven hundred sixty-seven".

Divisors: 1 7 13 91 169 1183 3591649 25141543 46691437 326840059 606988681 4248920767