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42816501 = 32713232273
BaseRepresentation
bin1010001101010…
…1001111110101
32222120022012100
42203111033311
541430112001
64125412313
71026635310
oct243251765
988508170
1042816501
1122194742
121240a099
138b41810
145987977
153b5b586
hex28d53f5

42816501 has 48 divisors (see below), whose sum is σ = 79462656. Its totient is φ = 21593088.

The previous prime is 42816497. The next prime is 42816509. The reversal of 42816501 is 10561824.

42816501 is a `hidden beast` number, since 4 + 2 + 8 + 1 + 650 + 1 = 666.

It is not a de Polignac number, because 42816501 - 22 = 42816497 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42816509) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17701 + ... + 19973.

It is an arithmetic number, because the mean of its divisors is an integer number (1655472).

Almost surely, 242816501 is an apocalyptic number.

It is an amenable number.

42816501 is a deficient number, since it is larger than the sum of its proper divisors (36646155).

42816501 is a wasteful number, since it uses less digits than its factorization.

42816501 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2322 (or 2319 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 42816501 is about 6543.4318977124. The cubic root of 42816501 is about 349.8407465968.

The spelling of 42816501 in words is "forty-two million, eight hundred sixteen thousand, five hundred one".

Divisors: 1 3 7 9 13 21 23 39 63 69 91 117 161 207 273 299 483 819 897 1449 2093 2273 2691 6279 6819 15911 18837 20457 29549 47733 52279 88647 143199 156837 206843 265941 365953 470511 620529 679627 1097859 1861587 2038881 3293577 4757389 6116643 14272167 42816501