Search a number
-
+
42137208 = 2332587997
BaseRepresentation
bin1010000010111…
…1011001111000
32221021210101100
42200233121320
541241342313
64103051400
71021106001
oct240573170
987253340
1042137208
1121870343
1212140b60
138964579
14584c1a8
153a75173
hex282f678

42137208 has 48 divisors (see below), whose sum is σ = 114430680. Its totient is φ = 14007744.

The previous prime is 42137201. The next prime is 42137267. The reversal of 42137208 is 80273124.

42137208 is a `hidden beast` number, since 421 + 37 + 208 = 666.

42137208 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42137201) 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 11 ways as a sum of consecutive naturals, for example, 41766 + ... + 42762.

Almost surely, 242137208 is an apocalyptic number.

It is an amenable number.

42137208 is an abundant number, since it is smaller than the sum of its proper divisors (72293472).

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

42137208 is a wasteful number, since it uses less digits than its factorization.

42137208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1596 (or 1589 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 42137208 is about 6491.3178939257. The cubic root of 42137208 is about 347.9807757910.

The spelling of 42137208 in words is "forty-two million, one hundred thirty-seven thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 587 997 1174 1761 1994 2348 2991 3522 3988 4696 5283 5982 7044 7976 8973 10566 11964 14088 17946 21132 23928 35892 42264 71784 585239 1170478 1755717 2340956 3511434 4681912 5267151 7022868 10534302 14045736 21068604 42137208