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289238040 = 23365713109
BaseRepresentation
bin10001001111010…
…110110000011000
3202011020211000000
4101033112300120
51043021104130
644411213000
710111324410
oct2117266030
9664224000
10289238040
111392a3903
1280a47160
1347c00490
142a5b1640
151a5d5260
hex113d6c18

289238040 has 448 divisors, whose sum is σ = 1211918400. Its totient is φ = 60466176.

The previous prime is 289238023. The next prime is 289238057. The reversal of 289238040 is 40832982.

It is an interprime number because it is at equal distance from previous prime (289238023) and next prime (289238057).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 289237986 and 289238004.

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 in 111 ways as a sum of consecutive naturals, for example, 2653506 + ... + 2653614.

It is an arithmetic number, because the mean of its divisors is an integer number (2705175).

Almost surely, 2289238040 is an apocalyptic number.

289238040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 289238040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (605959200).

289238040 is an abundant number, since it is smaller than the sum of its proper divisors (922680360).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

289238040 is a wasteful number, since it uses less digits than its factorization.

289238040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 289238040 is about 17006.9997354031. Note that the first 3 decimals coincide. The cubic root of 289238040 is about 661.3303743888.

It can be divided in two parts, 28923 and 8040, that added together give a palindrome (36963).

The spelling of 289238040 in words is "two hundred eighty-nine million, two hundred thirty-eight thousand, forty".