Search a number
-
+
42716952 = 2332593291
BaseRepresentation
bin1010001011110…
…0111100011000
32222101020122100
42202330330120
541413420302
64123323400
71026042135
oct242747430
988336570
1042716952
1122126973
1212380560
138b08405
14595d58c
153b3bd1c
hex28bcf18

42716952 has 24 divisors (see below), whose sum is σ = 115691940. Its totient is φ = 14238960.

The previous prime is 42716951. The next prime is 42716953. The reversal of 42716952 is 25961724.

42716952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (42716951) and next prime (42716953).

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42716951) 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 5 ways as a sum of consecutive naturals, for example, 296574 + ... + 296717.

Almost surely, 242716952 is an apocalyptic number.

It is an amenable number.

42716952 is an abundant number, since it is smaller than the sum of its proper divisors (72974988).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42716952 is a wasteful number, since it uses less digits than its factorization.

42716952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 593303 (or 593296 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 42716952 is about 6535.8206829747. The cubic root of 42716952 is about 349.5694078906.

The spelling of 42716952 in words is "forty-two million, seven hundred sixteen thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 593291 1186582 1779873 2373164 3559746 4746328 5339619 7119492 10679238 14238984 21358476 42716952