Search a number
-
+
42508629 = 3216272903
BaseRepresentation
bin1010001000101…
…0000101010101
32221222122212200
42202022011111
541340234004
64115035113
71024213602
oct242120525
987878780
1042508629
1121aa43a9
121229ba99
138a64647
1459076a9
153aea239
hex288a155

42508629 has 12 divisors (see below), whose sum is σ = 61460256. Its totient is φ = 28311912.

The previous prime is 42508621. The next prime is 42508637. The reversal of 42508629 is 92680524.

It is a happy number.

42508629 is a `hidden beast` number, since 4 + 25 + 0 + 8 + 629 = 666.

It is an interprime number because it is at equal distance from previous prime (42508621) and next prime (42508637).

It is not a de Polignac number, because 42508629 - 23 = 42508621 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 42508593 and 42508602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42508621) 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, 13192 + ... + 16094.

It is an arithmetic number, because the mean of its divisors is an integer number (5121688).

Almost surely, 242508629 is an apocalyptic number.

It is an amenable number.

42508629 is a deficient number, since it is larger than the sum of its proper divisors (18951627).

42508629 is a wasteful number, since it uses less digits than its factorization.

42508629 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4536 (or 4533 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 42508629 is about 6519.8641857020. The cubic root of 42508629 is about 349.0002189362. Note that the first 3 decimals are identical.

The spelling of 42508629 in words is "forty-two million, five hundred eight thousand, six hundred twenty-nine".

Divisors: 1 3 9 1627 2903 4881 8709 14643 26127 4723181 14169543 42508629