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4212399409 = 41215832
BaseRepresentation
bin1111101100010100…
…0001110100110001
3101212120101001122221
43323011001310301
532111333240114
61533554201041
7206246542561
oct37305016461
911776331587
104212399409
111871876029
12996883181
1352192a73a
142bd642da1
15199c2d524
hexfb141d31

4212399409 has 9 divisors (see below), whose sum is σ = 4320375979. Its totient is φ = 4107061840.

The previous prime is 4212399403. The next prime is 4212399431. The reversal of 4212399409 is 9049932124.

It is a happy number.

The square root of 4212399409 is 64903.

It is a perfect power (a square), and thus also a powerful number.

4212399409 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 202977009 + 4009422400 = 14247^2 + 63320^2 .

It is not a de Polignac number, because 4212399409 - 213 = 4212391217 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4212399403) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2660232 + ... + 2661814.

Almost surely, 24212399409 is an apocalyptic number.

4212399409 is the 64903-rd square number.

4212399409 is the 32452-nd centered octagonal number.

It is an amenable number.

4212399409 is a deficient number, since it is larger than the sum of its proper divisors (107976570).

4212399409 is an frugal number, since it uses more digits than its factorization.

4212399409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3248 (or 1624 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 43.

The cubic root of 4212399409 is about 1615.0148291059.

The spelling of 4212399409 in words is "four billion, two hundred twelve million, three hundred ninety-nine thousand, four hundred nine".

Divisors: 1 41 1583 1681 64903 2505889 2661023 102741449 4212399409