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42232033 = 297319949
BaseRepresentation
bin1010000100011…
…0100011100001
32221110121110101
42201012203201
541302411113
64105102401
71021652314
oct241064341
987417411
1042232033
1121925608
1212187a01
13899878c
14587497b
153a932dd
hex28468e1

42232033 has 8 divisors (see below), whose sum is σ = 44289000. Its totient is φ = 40215168.

The previous prime is 42231989. The next prime is 42232037. The reversal of 42232033 is 33023224.

It can be written as a sum of positive squares in 4 ways, for example, as 1871424 + 40360609 = 1368^2 + 6353^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 42232033 - 221 = 40134881 is a prime.

It is a super-2 number, since 2×422320332 = 3567089222626178, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 42232033.

It is not an unprimeable number, because it can be changed into a prime (42232037) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7858 + ... + 12091.

It is an arithmetic number, because the mean of its divisors is an integer number (5536125).

Almost surely, 242232033 is an apocalyptic number.

It is an amenable number.

42232033 is a deficient number, since it is larger than the sum of its proper divisors (2056967).

42232033 is a wasteful number, since it uses less digits than its factorization.

42232033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20051.

The product of its (nonzero) digits is 864, while the sum is 19.

The square root of 42232033 is about 6498.6177761121. The cubic root of 42232033 is about 348.2416106313.

Adding to 42232033 its reverse (33023224), we get a palindrome (75255257).

It can be divided in two parts, 422320 and 33, that multiplied together give a triangular number (13936560 = T5279).

The spelling of 42232033 in words is "forty-two million, two hundred thirty-two thousand, thirty-three".

Divisors: 1 29 73 2117 19949 578521 1456277 42232033