Search a number
-
+
42783129 = 324753681
BaseRepresentation
bin1010001100110…
…1000110011001
32222111121102100
42203031012121
541423030004
64124554013
71026436104
oct243150631
988447370
1042783129
1122171664
12123b2909
138b2c57c
14597973b
153b51739
hex28cd199

42783129 has 6 divisors (see below), whose sum is σ = 61797866. Its totient is φ = 28522080.

The previous prime is 42783121. The next prime is 42783133. The reversal of 42783129 is 92138724.

It can be written as a sum of positive squares in only one way, i.e., 26501904 + 16281225 = 5148^2 + 4035^2 .

It is not a de Polignac number, because 42783129 - 23 = 42783121 is a prime.

It is a super-2 number, since 2×427831292 = 3660792254061282, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 42783093 and 42783102.

It is not an unprimeable number, because it can be changed into a prime (42783121) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2376832 + ... + 2376849.

Almost surely, 242783129 is an apocalyptic number.

It is an amenable number.

42783129 is a deficient number, since it is larger than the sum of its proper divisors (19014737).

42783129 is a wasteful number, since it uses less digits than its factorization.

42783129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4753687 (or 4753684 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 42783129 is about 6540.8813626300. The cubic root of 42783129 is about 349.7498321156.

The spelling of 42783129 in words is "forty-two million, seven hundred eighty-three thousand, one hundred twenty-nine".

Divisors: 1 3 9 4753681 14261043 42783129