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42311904 = 2532319163
BaseRepresentation
bin1010000101101…
…0000011100000
32221121200000120
42201122003200
541312440104
64110520240
71022434215
oct241320340
987550016
1042311904
112197a618
1212206080
1389c5c3b
145895b0c
153aabcd9
hex285a0e0

42311904 has 48 divisors (see below), whose sum is σ = 115903872. Its totient is φ = 13490048.

The previous prime is 42311903. The next prime is 42311921. The reversal of 42311904 is 40911324.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42311903) 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, 7374 + ... + 11789.

It is an arithmetic number, because the mean of its divisors is an integer number (2414664).

Almost surely, 242311904 is an apocalyptic number.

It is an amenable number.

42311904 is an abundant number, since it is smaller than the sum of its proper divisors (73591968).

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

42311904 is a wasteful number, since it uses less digits than its factorization.

42311904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19199 (or 19191 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 42311904 is about 6504.7601031860. The cubic root of 42311904 is about 348.4610087794.

The spelling of 42311904 in words is "forty-two million, three hundred eleven thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 92 96 138 184 276 368 552 736 1104 2208 19163 38326 57489 76652 114978 153304 229956 306608 440749 459912 613216 881498 919824 1322247 1762996 1839648 2644494 3525992 5288988 7051984 10577976 14103968 21155952 42311904