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64146429 = 3225727733
BaseRepresentation
bin1111010010110…
…0101111111101
311110200222100200
43310230233331
5112410141204
610210514113
71406143554
oct364545775
9143628320
1064146429
1133233186
1219595939
131039c389
14873ad9b
155971539
hex3d2cbfd

64146429 has 12 divisors (see below), whose sum is σ = 93019836. Its totient is φ = 42596352.

The previous prime is 64146421. The next prime is 64146431. The reversal of 64146429 is 92464146.

64146429 is a `hidden beast` number, since 6 + 4 + 1 + 4 + 642 + 9 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 42968025 + 21178404 = 6555^2 + 4602^2 .

It is not a de Polignac number, because 64146429 - 23 = 64146421 is a prime.

It is a super-2 number, since 2×641464292 = 8229528706904082, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 64146393 and 64146402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64146421) 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, 11554 + ... + 16179.

It is an arithmetic number, because the mean of its divisors is an integer number (7751653).

Almost surely, 264146429 is an apocalyptic number.

It is an amenable number.

64146429 is a deficient number, since it is larger than the sum of its proper divisors (28873407).

64146429 is a wasteful number, since it uses less digits than its factorization.

64146429 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27996 (or 27993 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 64146429 is about 8009.1465837504. The cubic root of 64146429 is about 400.3048280573.

The spelling of 64146429 in words is "sixty-four million, one hundred forty-six thousand, four hundred twenty-nine".

Divisors: 1 3 9 257 771 2313 27733 83199 249597 7127381 21382143 64146429