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69242688 = 263419237
BaseRepresentation
bin1000010000010…
…00111101000000
311211021220010000
410020020331000
5120211231223
610512040000
71500360504
oct410107500
9154256100
1069242688
11360a4069
121b233000
1311464c08
1492a6304
15612b543
hex4208f40

69242688 has 210 divisors, whose sum is σ = 222483426. Its totient is φ = 21275136.

The previous prime is 69242687. The next prime is 69242713. The reversal of 69242688 is 88624296.

It can be written as a sum of positive squares in only one way, i.e., 67371264 + 1871424 = 8208^2 + 1368^2 .

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 (69242687) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1871406 + ... + 1871442.

Almost surely, 269242688 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 69242688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111241713).

69242688 is an abundant number, since it is smaller than the sum of its proper divisors (153240738).

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

69242688 is a wasteful number, since it uses less digits than its factorization.

69242688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 61 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 69242688 is about 8321.2191414480. The cubic root of 69242688 is about 410.6369002619.

The spelling of 69242688 in words is "sixty-nine million, two hundred forty-two thousand, six hundred eighty-eight".