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42443712 = 2632312377
BaseRepresentation
bin1010000111101…
…0001111000000
32221212100211100
42201322033000
541331144322
64113414400
71023523413
oct241721700
987770740
1042443712
1121a5a653
121226a400
138a40c2c
1458cbb7a
153ad5dac
hex287a3c0

42443712 has 84 divisors (see below), whose sum is σ = 125634496. Its totient is φ = 13685760.

The previous prime is 42443689. The next prime is 42443719. The reversal of 42443712 is 21734424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42443719) by changing a digit.

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, 16668 + ... + 19044.

Almost surely, 242443712 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 42443712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62817248).

42443712 is an abundant number, since it is smaller than the sum of its proper divisors (83190784).

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

42443712 is a wasteful number, since it uses less digits than its factorization.

42443712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2426 (or 2413 counting only the distinct ones).

The product of its digits is 5376, while the sum is 27.

The square root of 42443712 is about 6514.8838823113. The cubic root of 42443712 is about 348.8224700055.

The spelling of 42443712 in words is "forty-two million, four hundred forty-three thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 64 72 93 96 124 144 186 192 248 279 288 372 496 558 576 744 992 1116 1488 1984 2232 2377 2976 4464 4754 5952 7131 8928 9508 14262 17856 19016 21393 28524 38032 42786 57048 73687 76064 85572 114096 147374 152128 171144 221061 228192 294748 342288 442122 456384 589496 663183 684576 884244 1178992 1326366 1369152 1768488 2357984 2652732 3536976 4715968 5305464 7073952 10610928 14147904 21221856 42443712