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42404406 = 2311897219
BaseRepresentation
bin1010000111000…
…0101000110110
32221210100220120
42201300220312
541323420111
64112512410
71023301002
oct241605066
987710816
1042404406
1121a33070
121224b706
138a29085
1458bb702
153ac9406
hex2870a36

42404406 has 32 divisors (see below), whose sum is σ = 93571200. Its totient is φ = 12703680.

The previous prime is 42404363. The next prime is 42404419. The reversal of 42404406 is 60440424.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2265 + ... + 9483.

It is an arithmetic number, because the mean of its divisors is an integer number (2924100).

Almost surely, 242404406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42404406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46785600).

42404406 is an abundant number, since it is smaller than the sum of its proper divisors (51166794).

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

42404406 is a wasteful number, since it uses less digits than its factorization.

42404406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7324.

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 42404406 is about 6511.8665526867. The cubic root of 42404406 is about 348.7147583253.

It can be divided in two parts, 4240 and 4406, that added together give a triangular number (8646 = T131).

The spelling of 42404406 in words is "forty-two million, four hundred four thousand, four hundred six".

Divisors: 1 2 3 6 11 22 33 66 89 178 267 534 979 1958 2937 5874 7219 14438 21657 43314 79409 158818 238227 476454 642491 1284982 1927473 3854946 7067401 14134802 21202203 42404406