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42993306 = 232171091289
BaseRepresentation
bin1010010000000…
…0011010011010
32222220021201200
42210000122122
542001241211
64133255030
71031302626
oct244003232
988807650
1042993306
11222a5564
1212494476
138ba4135
1459d2186
153b93b56
hex290069a

42993306 has 48 divisors (see below), whose sum is σ = 99613800. Its totient is φ = 13353984.

The previous prime is 42993299. The next prime is 42993317. The reversal of 42993306 is 60339924.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 42968025 + 25281 = 6555^2 + 159^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32710 + ... + 33998.

Almost surely, 242993306 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42993306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49806900).

42993306 is an abundant number, since it is smaller than the sum of its proper divisors (56620494).

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

42993306 is a wasteful number, since it uses less digits than its factorization.

42993306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1423 (or 1420 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The square root of 42993306 is about 6556.9280917210. The cubic root of 42993306 is about 350.3216254467.

The spelling of 42993306 in words is "forty-two million, nine hundred ninety-three thousand, three hundred six".

Divisors: 1 2 3 6 9 17 18 34 51 102 109 153 218 306 327 654 981 1289 1853 1962 2578 3706 3867 5559 7734 11118 11601 16677 21913 23202 33354 43826 65739 131478 140501 197217 281002 394434 421503 843006 1264509 2388517 2529018 4777034 7165551 14331102 21496653 42993306