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4218949 = 72292969
BaseRepresentation
bin10000000110000001000101
321221100022101
4100012001011
52040001244
6230232101
750601100
oct20060105
97840271
104218949
112421839
1214b5631
13b49427
147bb737
155850d4
hex406045

4218949 has 12 divisors (see below), whose sum is σ = 5078700. Its totient is φ = 3490368.

The previous prime is 4218947. The next prime is 4218961. The reversal of 4218949 is 9498124.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 777924 + 3441025 = 882^2 + 1855^2 .

It is not a de Polignac number, because 4218949 - 21 = 4218947 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4218947) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 64 + ... + 2905.

It is an arithmetic number, because the mean of its divisors is an integer number (423225).

Almost surely, 24218949 is an apocalyptic number.

4218949 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

It is an amenable number.

4218949 is a deficient number, since it is larger than the sum of its proper divisors (859751).

4218949 is a wasteful number, since it uses less digits than its factorization.

4218949 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3012 (or 3005 counting only the distinct ones).

The product of its digits is 20736, while the sum is 37.

The square root of 4218949 is about 2054.0080330904. The cubic root of 4218949 is about 161.5851423495.

The spelling of 4218949 in words is "four million, two hundred eighteen thousand, nine hundred forty-nine".

Divisors: 1 7 29 49 203 1421 2969 20783 86101 145481 602707 4218949