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42443040 = 253588423
BaseRepresentation
bin1010000111101…
…0000100100000
32221212022220110
42201322010200
541331134130
64113411320
71023521433
oct241720440
987768813
1042443040
1121a5a0a2
1212269b40
138a40833
1458cb81a
153ad5ab0
hex287a120

42443040 has 48 divisors (see below), whose sum is σ = 133697088. Its totient is φ = 11318016.

The previous prime is 42443039. The next prime is 42443069. The reversal of 42443040 is 4034424.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 42442998 and 42443016.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43732 + ... + 44691.

It is an arithmetic number, because the mean of its divisors is an integer number (2785356).

Almost surely, 242443040 is an apocalyptic number.

42443040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42443040 is an abundant number, since it is smaller than the sum of its proper divisors (91254048).

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

42443040 is a wasteful number, since it uses less digits than its factorization.

42443040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88441 (or 88433 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 21.

The square root of 42443040 is about 6514.8323078956. The cubic root of 42443040 is about 348.8206290579.

Adding to 42443040 its reverse (4034424), we get a palindrome (46477464).

The spelling of 42443040 in words is "forty-two million, four hundred forty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 88423 176846 265269 353692 442115 530538 707384 884230 1061076 1326345 1414768 1768460 2122152 2652690 2829536 3536920 4244304 5305380 7073840 8488608 10610760 14147680 21221520 42443040