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289689912 = 23331936949
BaseRepresentation
bin10001010001000…
…101000100111000
3202012002202212000
4101101011010320
51043130034122
644425021000
710115216001
oct2121050470
9665082760
10289689912
11139582356
1281024760
134802b065
142a68c1a8
151a6740ac
hex11445138

289689912 has 64 divisors (see below), whose sum is σ = 808980000. Its totient is φ = 96049152.

The previous prime is 289689901. The next prime is 289689913. The reversal of 289689912 is 219986982.

It is a super-2 number, since 2×2896899122 = 167840490229135488, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (289689913) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38214 + ... + 45162.

Almost surely, 2289689912 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 289689912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404490000).

289689912 is an abundant number, since it is smaller than the sum of its proper divisors (519290088).

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

289689912 is a wasteful number, since it uses less digits than its factorization.

289689912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7157 (or 7147 counting only the distinct ones).

The product of its digits is 1119744, while the sum is 54.

The square root of 289689912 is about 17020.2794336638. The cubic root of 289689912 is about 661.6745905129.

The spelling of 289689912 in words is "two hundred eighty-nine million, six hundred eighty-nine thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 193 216 386 579 772 1158 1544 1737 2316 3474 4632 5211 6948 6949 10422 13896 13898 20844 20847 27796 41688 41694 55592 62541 83388 125082 166776 187623 250164 375246 500328 750492 1341157 1500984 2682314 4023471 5364628 8046942 10729256 12070413 16093884 24140826 32187768 36211239 48281652 72422478 96563304 144844956 289689912