Search a number
-
+
61842429 = 32113716883
BaseRepresentation
bin1110101111101…
…0001111111101
311022100220212100
43223322033331
5111312424204
610045255313
71350436425
oct353721775
9138326770
1061842429
11319aa150
1218864539
13ca7376c
1482db485
155668a39
hex3afa3fd

61842429 has 24 divisors (see below), whose sum is σ = 100088352. Its totient is φ = 36465120.

The previous prime is 61842421. The next prime is 61842449. The reversal of 61842429 is 92424816.

It is not a de Polignac number, because 61842429 - 23 = 61842421 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 61842393 and 61842402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61842421) 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 23 ways as a sum of consecutive naturals, for example, 4779 + ... + 12104.

It is an arithmetic number, because the mean of its divisors is an integer number (4170348).

Almost surely, 261842429 is an apocalyptic number.

It is an amenable number.

61842429 is a deficient number, since it is larger than the sum of its proper divisors (38245923).

61842429 is a wasteful number, since it uses less digits than its factorization.

61842429 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16937 (or 16934 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 61842429 is about 7863.9957400802. The cubic root of 61842429 is about 395.4535813907.

The spelling of 61842429 in words is "sixty-one million, eight hundred forty-two thousand, four hundred twenty-nine".

Divisors: 1 3 9 11 33 37 99 111 333 407 1221 3663 16883 50649 151947 185713 557139 624671 1671417 1874013 5622039 6871381 20614143 61842429