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42386424 = 23323312477
BaseRepresentation
bin1010000110110…
…0001111111000
32221202110020120
42201230033320
541322331144
64112253240
71023164403
oct241541770
987673216
1042386424
1121a20603
1212241220
138a20b32
1458b4d3a
153ac3e19
hex286c3f8

42386424 has 64 divisors (see below), whose sum is σ = 114186240. Its totient is φ = 13073280.

The previous prime is 42386419. The next prime is 42386431. The reversal of 42386424 is 42468324.

42386424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 15874 + ... + 18350.

It is an arithmetic number, because the mean of its divisors is an integer number (1784160).

Almost surely, 242386424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42386424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57093120).

42386424 is an abundant number, since it is smaller than the sum of its proper divisors (71799816).

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

42386424 is a wasteful number, since it uses less digits than its factorization.

42386424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2540 (or 2536 counting only the distinct ones).

The product of its digits is 36864, while the sum is 33.

The square root of 42386424 is about 6510.4856961674. The cubic root of 42386424 is about 348.6654593966.

The spelling of 42386424 in words is "forty-two million, three hundred eighty-six thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 23 24 31 46 62 69 92 93 124 138 184 186 248 276 372 552 713 744 1426 2139 2477 2852 4278 4954 5704 7431 8556 9908 14862 17112 19816 29724 56971 59448 76787 113942 153574 170913 227884 230361 307148 341826 455768 460722 614296 683652 921444 1367304 1766101 1842888 3532202 5298303 7064404 10596606 14128808 21193212 42386424