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253069056 = 2833194147
BaseRepresentation
bin11110001010110…
…00011100000000
3122122012020111000
433011120130000
51004241202211
641040052000
76162023442
oct1705303400
9578166430
10253069056
1111a93a589
1270904000
1340578606
1425878492
151733d656
hexf158700

253069056 has 288 divisors, whose sum is σ = 824140800. Its totient is φ = 76308480.

The previous prime is 253069031. The next prime is 253069067. The reversal of 253069056 is 650960352.

253069056 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×2530690562 = 128087894209462272, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 253069056.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5384425 + ... + 5384471.

It is an arithmetic number, because the mean of its divisors is an integer number (2861600).

Almost surely, 2253069056 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 253069056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412070400).

253069056 is an abundant number, since it is smaller than the sum of its proper divisors (571071744).

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

253069056 is a wasteful number, since it uses less digits than its factorization.

253069056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The square root of 253069056 is about 15908.1443292422. The cubic root of 253069056 is about 632.5278930764.

The spelling of 253069056 in words is "two hundred fifty-three million, sixty-nine thousand, fifty-six".