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289736073 = 3211319267
BaseRepresentation
bin10001010001010…
…000010110001001
3202012012010011200
4101101100112021
51043133023243
644430014413
710115500404
oct2121202611
9665163150
10289736073
11139604000
1281047409
1348046083
142a6a0d3b
151a682ad3
hex11450589

289736073 has 72 divisors (see below), whose sum is σ = 493081056. Its totient is φ = 163872720.

The previous prime is 289736063. The next prime is 289736081. The reversal of 289736073 is 370637982.

It is a happy number.

289736073 is a `hidden beast` number, since 289 + 7 + 360 + 7 + 3 = 666.

It is a de Polignac number, because none of the positive numbers 2k-289736073 is a prime.

It is a super-2 number, since 2×2897360732 = 167893983994922658, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (289736003) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4324386 + ... + 4324452.

It is an arithmetic number, because the mean of its divisors is an integer number (6848348).

Almost surely, 2289736073 is an apocalyptic number.

It is an amenable number.

289736073 is a deficient number, since it is larger than the sum of its proper divisors (203344983).

289736073 is a wasteful number, since it uses less digits than its factorization.

289736073 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The square root of 289736073 is about 17021.6354384648. The cubic root of 289736073 is about 661.7097337671.

The spelling of 289736073 in words is "two hundred eighty-nine million, seven hundred thirty-six thousand, seventy-three".

Divisors: 1 3 9 11 19 33 57 67 99 121 171 201 209 361 363 603 627 737 1083 1089 1273 1331 1881 2211 2299 3249 3819 3971 3993 6633 6897 8107 11457 11913 11979 14003 20691 24187 24321 25289 35739 42009 43681 72561 72963 75867 89177 126027 131043 154033 217683 227601 266057 267531 393129 462099 480491 798171 802593 1386297 1441473 1694363 2394513 2926627 4324419 5083089 8779881 15249267 26339643 32192897 96578691 289736073