Search a number
-
+
42336294 = 237211131953
BaseRepresentation
bin1010000110000…
…0000000100110
32221122220110220
42201200000212
541314230134
64111225210
71022565300
oct241400046
987586426
1042336294
1121996980
1212218206
138a04080
1458a0970
153ab4149
hex2860026

42336294 has 192 divisors, whose sum is σ = 124104960. Its totient is φ = 9434880.

The previous prime is 42336293. The next prime is 42336311. The reversal of 42336294 is 49263324.

It is a Harshad number since it is a multiple of its sum of digits (33).

Its product of digits (31104) is a multiple of the sum of its prime divisors (108).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42336293) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 798772 + ... + 798824.

It is an arithmetic number, because the mean of its divisors is an integer number (646380).

Almost surely, 242336294 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42336294, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62052480).

42336294 is an abundant number, since it is smaller than the sum of its proper divisors (81768666).

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

42336294 is a wasteful number, since it uses less digits than its factorization.

42336294 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 108 counting only the distinct ones).

The product of its digits is 31104, while the sum is 33.

The square root of 42336294 is about 6506.6346139921. The cubic root of 42336294 is about 348.5279507878.

It can be divided in two parts, 42336 and 294, that multiplied together give a square (12446784 = 35282).

The spelling of 42336294 in words is "forty-two million, three hundred thirty-six thousand, two hundred ninety-four".