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42433965 = 3257235857
BaseRepresentation
bin1010000111011…
…1110110101101
32221211212110100
42201313312231
541330341330
64113301313
71023453120
oct241676655
987755410
1042433965
1121a532a2
1212264839
138a39672
1458c83b7
153ad3060
hex2877dad

42433965 has 48 divisors (see below), whose sum is σ = 87729408. Its totient is φ = 18551808.

The previous prime is 42433961. The next prime is 42433967. The reversal of 42433965 is 56933424.

It is not a de Polignac number, because 42433965 - 22 = 42433961 is a prime.

It is a nialpdrome in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42433961) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4317 + ... + 10173.

It is an arithmetic number, because the mean of its divisors is an integer number (1827696).

Almost surely, 242433965 is an apocalyptic number.

42433965 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

42433965 is an abundant number, since it is smaller than the sum of its proper divisors (45295443).

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

42433965 is a wasteful number, since it uses less digits than its factorization.

42433965 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5898 (or 5895 counting only the distinct ones).

The product of its digits is 77760, while the sum is 36.

The square root of 42433965 is about 6514.1357830490. The cubic root of 42433965 is about 348.7957661448.

The spelling of 42433965 in words is "forty-two million, four hundred thirty-three thousand, nine hundred sixty-five".

Divisors: 1 3 5 7 9 15 21 23 35 45 63 69 105 115 161 207 315 345 483 805 1035 1449 2415 5857 7245 17571 29285 40999 52713 87855 122997 134711 204995 263565 368991 404133 614985 673555 942977 1212399 1844955 2020665 2828931 4714885 6061995 8486793 14144655 42433965