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938213649 = 32104245961
BaseRepresentation
bin110111111011000…
…000000100010001
32102101102012011200
4313323000010101
53410140314044
6233033101413
732151453522
oct6773000421
92371365150
10938213649
1144166288a
12222257869
1311c4b6109
148c866849
1557579369
hex37ec0111

938213649 has 6 divisors (see below), whose sum is σ = 1355197506. Its totient is φ = 625475760.

The previous prime is 938213623. The next prime is 938213659. The reversal of 938213649 is 946312839.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 742017600 + 196196049 = 27240^2 + 14007^2 .

It is not a de Polignac number, because 938213649 - 29 = 938213137 is a prime.

It is a super-4 number, since 4×9382136494 (a number of 37 digits) contains 4444 as substring. Note that it is a super-d number also for d = 3.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (938213609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 52122972 + ... + 52122989.

It is an arithmetic number, because the mean of its divisors is an integer number (225866251).

Almost surely, 2938213649 is an apocalyptic number.

It is an amenable number.

938213649 is a deficient number, since it is larger than the sum of its proper divisors (416983857).

938213649 is a wasteful number, since it uses less digits than its factorization.

938213649 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104245967 (or 104245964 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

The square root of 938213649 is about 30630.2734072029. The cubic root of 938213649 is about 978.9651887600.

The spelling of 938213649 in words is "nine hundred thirty-eight million, two hundred thirteen thousand, six hundred forty-nine".

Divisors: 1 3 9 104245961 312737883 938213649