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289995552 = 25347111453
BaseRepresentation
bin10001010010001…
…111101100100000
3202012200022010000
4101102033230200
51043214324202
644435340000
710120631040
oct2122175440
9665608100
10289995552
11139770a50
1281151600
1348107202
142a72b720
151a6d491c
hex1148fb20

289995552 has 240 divisors, whose sum is σ = 1064048832. Its totient is φ = 75271680.

The previous prime is 289995547. The next prime is 289995557. The reversal of 289995552 is 255599982.

289995552 is a `hidden beast` number, since 2 + 89 + 9 + 9 + 5 + 552 = 666.

It is an interprime number because it is at equal distance from previous prime (289995547) and next prime (289995557).

It is a super-3 number, since 3×2899955523 (a number of 26 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (289995557) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 198858 + ... + 200310.

Almost surely, 2289995552 is an apocalyptic number.

289995552 is a gapful number since it is divisible by the number (22) 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 289995552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532024416).

289995552 is an abundant number, since it is smaller than the sum of its proper divisors (774053280).

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

289995552 is a wasteful number, since it uses less digits than its factorization.

289995552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1493 (or 1476 counting only the distinct ones).

The product of its digits is 2916000, while the sum is 54.

The square root of 289995552 is about 17029.2557676488. The cubic root of 289995552 is about 661.9072106723.

The spelling of 289995552 in words is "two hundred eighty-nine million, nine hundred ninety-five thousand, five hundred fifty-two".