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42971712 = 263731973
BaseRepresentation
bin1010001111101…
…1001001000000
32222212012002220
42203323021000
542000043322
64133011040
71031152650
oct243731100
988765086
1042971712
1122290313
1212483a80
138b97364
1459c8360
153b8c55c
hex28fb240

42971712 has 56 divisors (see below), whose sum is σ = 129942336. Its totient is φ = 12277248.

The previous prime is 42971683. The next prime is 42971713. The reversal of 42971712 is 21717924.

It is a tau number, because it is divible by the number of its divisors (56).

It is not an unprimeable number, because it can be changed into a prime (42971713) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14643 + ... + 17330.

Almost surely, 242971712 is an apocalyptic number.

42971712 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

42971712 is an abundant number, since it is smaller than the sum of its proper divisors (86970624).

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

42971712 is a wasteful number, since it uses less digits than its factorization.

42971712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31995 (or 31985 counting only the distinct ones).

The product of its digits is 7056, while the sum is 33.

The square root of 42971712 is about 6555.2812296651. The cubic root of 42971712 is about 350.2629642832.

The spelling of 42971712 in words is "forty-two million, nine hundred seventy-one thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 31973 63946 95919 127892 191838 223811 255784 383676 447622 511568 671433 767352 895244 1023136 1342866 1534704 1790488 2046272 2685732 3069408 3580976 5371464 6138816 7161952 10742928 14323904 21485856 42971712