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42404094 = 2333173347
BaseRepresentation
bin1010000111000…
…0100011111110
32221210100111000
42201300203332
541323412334
64112511130
71023300045
oct241604376
987710430
1042404094
1121a32907
121224b4a6
138a28ba5
1458bb55c
153ac9299
hex28708fe

42404094 has 64 divisors (see below), whose sum is σ = 98887680. Its totient is φ = 13452480.

The previous prime is 42404093. The next prime is 42404113. The reversal of 42404094 is 49040424.

42404094 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42404093) 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 31 ways as a sum of consecutive naturals, for example, 122029 + ... + 122375.

It is an arithmetic number, because the mean of its divisors is an integer number (1545120).

Almost surely, 242404094 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42404094, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49443840).

42404094 is an abundant number, since it is smaller than the sum of its proper divisors (56483586).

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

42404094 is a wasteful number, since it uses less digits than its factorization.

42404094 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 42404094 is about 6511.8425963778. The cubic root of 42404094 is about 348.7139030740.

The spelling of 42404094 in words is "forty-two million, four hundred four thousand, ninety-four".

Divisors: 1 2 3 6 9 18 27 31 54 62 73 93 146 186 219 279 347 438 558 657 694 837 1041 1314 1674 1971 2082 2263 3123 3942 4526 6246 6789 9369 10757 13578 18738 20367 21514 25331 32271 40734 50662 61101 64542 75993 96813 122202 151986 193626 227979 290439 455958 580878 683937 785261 1367874 1570522 2355783 4711566 7067349 14134698 21202047 42404094