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42328704 = 273112911
BaseRepresentation
bin1010000101111…
…0001010000000
32221122112001210
42201132022000
541314004304
64111130120
71022534205
oct241361200
987575053
1042328704
1121991200
1212213940
138a00792
14589bcac
153ab1c89
hex285e280

42328704 has 96 divisors (see below), whose sum is σ = 123721920. Its totient is φ = 12812800.

The previous prime is 42328651. The next prime is 42328721. The reversal of 42328704 is 40782324.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 46009 + ... + 46919.

It is an arithmetic number, because the mean of its divisors is an integer number (1288770).

Almost surely, 242328704 is an apocalyptic number.

42328704 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42328704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61860960).

42328704 is an abundant number, since it is smaller than the sum of its proper divisors (81393216).

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

42328704 is a wasteful number, since it uses less digits than its factorization.

42328704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 950 (or 927 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

The square root of 42328704 is about 6506.0513370246. The cubic root of 42328704 is about 348.5071216520.

The spelling of 42328704 in words is "forty-two million, three hundred twenty-eight thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 121 128 132 176 192 242 264 352 363 384 484 528 704 726 911 968 1056 1408 1452 1822 1936 2112 2733 2904 3644 3872 4224 5466 5808 7288 7744 10021 10932 11616 14576 15488 20042 21864 23232 29152 30063 40084 43728 46464 58304 60126 80168 87456 110231 116608 120252 160336 174912 220462 240504 320672 330693 349824 440924 481008 641344 661386 881848 962016 1282688 1322772 1763696 1924032 2645544 3527392 3848064 5291088 7054784 10582176 14109568 21164352 42328704