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42039733 = 371577237
BaseRepresentation
bin1010000001011…
…1100110110101
32221002211200011
42200113212311
541230232413
64101020221
71020221551
oct240274665
987084604
1042039733
112180408a
12120b4671
13892c0a8
145824861
153a5633d
hex28179b5

42039733 has 8 divisors (see below), whose sum is σ = 43456952. Its totient is φ = 40637376.

The previous prime is 42039727. The next prime is 42039743. The reversal of 42039733 is 33793024.

42039733 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 13235044 + 28804689 = 3638^2 + 5367^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-42039733 is a prime.

It is a super-2 number, since 2×420397332 = 3534678301422578, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 42039695 and 42039704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42039743) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2191 + ... + 9427.

It is an arithmetic number, because the mean of its divisors is an integer number (5432119).

Almost surely, 242039733 is an apocalyptic number.

It is an amenable number.

42039733 is a deficient number, since it is larger than the sum of its proper divisors (1417219).

42039733 is a wasteful number, since it uses less digits than its factorization.

42039733 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7431.

The product of its (nonzero) digits is 13608, while the sum is 31.

The square root of 42039733 is about 6483.8054412513. The cubic root of 42039733 is about 347.7122434068.

The spelling of 42039733 in words is "forty-two million, thirty-nine thousand, seven hundred thirty-three".

Divisors: 1 37 157 5809 7237 267769 1136209 42039733