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42972064 = 251342877
BaseRepresentation
bin1010001111101…
…1001110100000
32222212012120221
42203323032200
542000101224
64133012424
71031153662
oct243731640
988765527
1042972064
1122290603
1212484114
138b97575
1459c8532
153b8c6e4
hex28fb3a0

42972064 has 12 divisors (see below), whose sum is σ = 84601314. Its totient is φ = 21486016.

The previous prime is 42972043. The next prime is 42972071. The reversal of 42972064 is 46027924.

42972064 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., 37307664 + 5664400 = 6108^2 + 2380^2 .

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

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, 671407 + ... + 671470.

Almost surely, 242972064 is an apocalyptic number.

It is an amenable number.

42972064 is a deficient number, since it is larger than the sum of its proper divisors (41629250).

42972064 is a wasteful number, since it uses less digits than its factorization.

42972064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1342887 (or 1342879 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 34.

The square root of 42972064 is about 6555.3080781913. The cubic root of 42972064 is about 350.2639206661.

Adding to 42972064 its reverse (46027924), we get a palindrome (88999988).

The spelling of 42972064 in words is "forty-two million, nine hundred seventy-two thousand, sixty-four".

Divisors: 1 2 4 8 16 32 1342877 2685754 5371508 10743016 21486032 42972064