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42731712 = 26348243
BaseRepresentation
bin1010001100000…
…0100011000000
32222101222220000
42203000203000
541414403322
64123520000
71026133152
oct243004300
988358800
1042731712
1122136a71
1212389000
138b1204a
145964ad2
153b413ac
hex28c08c0

42731712 has 70 divisors (see below), whose sum is σ = 126685548. Its totient is φ = 14242176.

The previous prime is 42731687. The next prime is 42731743. The reversal of 42731712 is 21713724.

It is a happy number.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1063 + ... + 9305.

Almost surely, 242731712 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42731712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63342774).

42731712 is an abundant number, since it is smaller than the sum of its proper divisors (83953836).

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

42731712 is an equidigital number, since it uses as much as digits as its factorization.

42731712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8267 (or 8248 counting only the distinct ones).

The product of its digits is 2352, while the sum is 27.

The square root of 42731712 is about 6536.9497473975. The cubic root of 42731712 is about 349.6096655250.

The spelling of 42731712 in words is "forty-two million, seven hundred thirty-one thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 1296 1728 2592 5184 8243 16486 24729 32972 49458 65944 74187 98916 131888 148374 197832 222561 263776 296748 395664 445122 527552 593496 667683 791328 890244 1186992 1335366 1582656 1780488 2373984 2670732 3560976 4747968 5341464 7121952 10682928 14243904 21365856 42731712