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42804342 = 233732311
BaseRepresentation
bin1010001101001…
…0010001110110
32222112200112000
42203102101312
541424214332
64125240130
71026555000
oct243222166
988480460
1042804342
1122186599
1212403046
138b39119
145983370
153b57b7c
hex28d2476

42804342 has 64 divisors (see below), whose sum is σ = 110976000. Its totient is φ = 12224520.

The previous prime is 42804341. The next prime is 42804343. The reversal of 42804342 is 24340824.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (42804341) and next prime (42804343).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42804341) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17367 + ... + 19677.

It is an arithmetic number, because the mean of its divisors is an integer number (1734000).

Almost surely, 242804342 is an apocalyptic number.

42804342 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 42804342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55488000).

42804342 is an abundant number, since it is smaller than the sum of its proper divisors (68171658).

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

42804342 is a wasteful number, since it uses less digits than its factorization.

42804342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2343 (or 2323 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 42804342 is about 6542.5027321355. The cubic root of 42804342 is about 349.8076276180.

The spelling of 42804342 in words is "forty-two million, eight hundred four thousand, three hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 98 126 147 189 294 343 378 441 686 882 1029 1323 2058 2311 2646 3087 4622 6174 6933 9261 13866 16177 18522 20799 32354 41598 48531 62397 97062 113239 124794 145593 226478 291186 339717 436779 679434 792673 873558 1019151 1585346 2038302 2378019 3057453 4756038 6114906 7134057 14268114 21402171 42804342