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253366016 = 281277793
BaseRepresentation
bin11110001101000…
…00111100000000
3122122202022211112
433012200330000
51004330203031
641050302452
76164401301
oct1706407400
9578668745
10253366016
11120022702
1270a27a28
1340650827
14259147a8
151739b62b
hexf1a0f00

253366016 has 36 divisors (see below), whose sum is σ = 509789952. Its totient is φ = 125669376.

The previous prime is 253365967. The next prime is 253366033. The reversal of 253366016 is 610663352.

It is a Harshad number since it is a multiple of its sum of digits (32).

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 3 ways as a sum of consecutive naturals, for example, 28616 + ... + 36408.

It is an arithmetic number, because the mean of its divisors is an integer number (14160832).

Almost surely, 2253366016 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 253366016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254894976).

253366016 is an abundant number, since it is smaller than the sum of its proper divisors (256423936).

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

253366016 is an equidigital number, since it uses as much as digits as its factorization.

253366016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7936 (or 7922 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 32.

The square root of 253366016 is about 15917.4751766730. The cubic root of 253366016 is about 632.7752064159.

The spelling of 253366016 in words is "two hundred fifty-three million, three hundred sixty-six thousand, sixteen".

Divisors: 1 2 4 8 16 32 64 127 128 254 256 508 1016 2032 4064 7793 8128 15586 16256 31172 32512 62344 124688 249376 498752 989711 997504 1979422 1995008 3958844 7917688 15835376 31670752 63341504 126683008 253366016