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42764141 = 752311681
BaseRepresentation
bin1010001100100…
…0011101101101
32222110122101002
42203020131231
541421423031
64124330045
71026326540
oct243103555
988418332
1042764141
1122159372
12123a3925
138b23a34
145972857
153b4accb
hex28c876d

42764141 has 8 divisors (see below), whose sum is σ = 48970944. Its totient is φ = 36581760.

The previous prime is 42764123. The next prime is 42764167. The reversal of 42764141 is 14146724.

It is a happy number.

42764141 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 42764141 - 210 = 42763117 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 (42764101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2180 + ... + 9501.

It is an arithmetic number, because the mean of its divisors is an integer number (6121368).

Almost surely, 242764141 is an apocalyptic number.

It is an amenable number.

42764141 is a deficient number, since it is larger than the sum of its proper divisors (6206803).

42764141 is a wasteful number, since it uses less digits than its factorization.

42764141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12211.

The product of its digits is 5376, while the sum is 29.

The square root of 42764141 is about 6539.4297151969. The cubic root of 42764141 is about 349.6980824915.

The spelling of 42764141 in words is "forty-two million, seven hundred sixty-four thousand, one hundred forty-one".

Divisors: 1 7 523 3661 11681 81767 6109163 42764141