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42446016 = 2632591249
BaseRepresentation
bin1010000111101…
…0110011000000
32221212110222200
42201322303000
541331233031
64113433200
71023533214
oct241726300
987773880
1042446016
1121a61358
121226b800
138a41cb2
1458cc944
153ad68e6
hex287acc0

42446016 has 84 divisors (see below), whose sum is σ = 123825000. Its totient is φ = 13897728.

The previous prime is 42446009. The next prime is 42446023. The reversal of 42446016 is 61064424.

It is an interprime number because it is at equal distance from previous prime (42446009) and next prime (42446023).

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 11 ways as a sum of consecutive naturals, for example, 33360 + ... + 34608.

Almost surely, 242446016 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 42446016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61912500).

42446016 is an abundant number, since it is smaller than the sum of its proper divisors (81378984).

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

42446016 is a wasteful number, since it uses less digits than its factorization.

42446016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1326 (or 1313 counting only the distinct ones).

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

The square root of 42446016 is about 6515.0607057801. The cubic root of 42446016 is about 348.8287816779.

The spelling of 42446016 in words is "forty-two million, four hundred forty-six thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 59 64 72 96 118 144 177 192 236 288 354 472 531 576 708 944 1062 1249 1416 1888 2124 2498 2832 3747 3776 4248 4996 5664 7494 8496 9992 11241 11328 14988 16992 19984 22482 29976 33984 39968 44964 59952 73691 79936 89928 119904 147382 179856 221073 239808 294764 359712 442146 589528 663219 719424 884292 1179056 1326438 1768584 2358112 2652876 3537168 4716224 5305752 7074336 10611504 14148672 21223008 42446016