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42806973 = 3114397311
BaseRepresentation
bin1010001101001…
…0111010111101
32222112211010110
42203102322331
541424310343
64125300233
71026565446
oct243227275
988484113
1042806973
1122188570
1212404679
138b3a391
1459842cd
153b58833
hex28d2ebd

42806973 has 32 divisors (see below), whose sum is σ = 64576512. Its totient is φ = 24998400.

The previous prime is 42806971. The next prime is 42806983. The reversal of 42806973 is 37960824.

It is not a de Polignac number, because 42806973 - 21 = 42806971 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42806971) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 137488 + ... + 137798.

It is an arithmetic number, because the mean of its divisors is an integer number (2018016).

Almost surely, 242806973 is an apocalyptic number.

42806973 is a gapful number since it is divisible by the number (43) formed by its first and last digit.

It is an amenable number.

42806973 is a deficient number, since it is larger than the sum of its proper divisors (21769539).

42806973 is a wasteful number, since it uses less digits than its factorization.

42806973 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465.

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 42806973 is about 6542.7037988893. The cubic root of 42806973 is about 349.8147945312.

The spelling of 42806973 in words is "forty-two million, eight hundred six thousand, nine hundred seventy-three".

Divisors: 1 3 11 33 43 97 129 291 311 473 933 1067 1419 3201 3421 4171 10263 12513 13373 30167 40119 45881 90501 137643 147103 331837 441309 995511 1297181 3891543 14268991 42806973