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42731664 = 2431974519
BaseRepresentation
bin1010001100000…
…0100010010000
32222101222211020
42203000202100
541414403124
64123515440
71026133053
oct243004220
988358736
1042731664
1122136a28
1212388b80
138b12011
145964a9a
153b41379
hex28c0890

42731664 has 40 divisors (see below), whose sum is σ = 110975040. Its totient is φ = 14168448.

The previous prime is 42731657. The next prime is 42731669. The reversal of 42731664 is 46613724.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (42731669) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 7197 + ... + 11715.

It is an arithmetic number, because the mean of its divisors is an integer number (2774376).

Almost surely, 242731664 is an apocalyptic number.

It is an amenable number.

42731664 is an abundant number, since it is smaller than the sum of its proper divisors (68243376).

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

42731664 is a wasteful number, since it uses less digits than its factorization.

42731664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4727 (or 4721 counting only the distinct ones).

The product of its digits is 24192, while the sum is 33.

The square root of 42731664 is about 6536.9460759593. The cubic root of 42731664 is about 349.6095346208.

The spelling of 42731664 in words is "forty-two million, seven hundred thirty-one thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 197 394 591 788 1182 1576 2364 3152 4519 4728 9038 9456 13557 18076 27114 36152 54228 72304 108456 216912 890243 1780486 2670729 3560972 5341458 7121944 10682916 14243888 21365832 42731664