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42720464 = 242670029
BaseRepresentation
bin1010001011110…
…1110011010000
32222101102110102
42202331303100
541414023324
64123351532
71026055313
oct242756320
988342412
1042720464
1122129576
12123825a8
138b09ba7
14596097a
153b3cdae
hex28bdcd0

42720464 has 10 divisors (see below), whose sum is σ = 82770930. Its totient is φ = 21360224.

The previous prime is 42720427. The next prime is 42720497. The reversal of 42720464 is 46402724.

42720464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 38688400 + 4032064 = 6220^2 + 2008^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1334999 + ... + 1335030.

It is an arithmetic number, because the mean of its divisors is an integer number (8277093).

Almost surely, 242720464 is an apocalyptic number.

It is an amenable number.

42720464 is a deficient number, since it is larger than the sum of its proper divisors (40050466).

42720464 is a wasteful number, since it uses less digits than its factorization.

42720464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2670037 (or 2670031 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 29.

The square root of 42720464 is about 6536.0893506745. The cubic root of 42720464 is about 349.5789876480.

The spelling of 42720464 in words is "forty-two million, seven hundred twenty thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 2670029 5340058 10680116 21360232 42720464