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253426446 = 2327131719479
BaseRepresentation
bin11110001101011…
…11101100001110
3122122212101201200
433012233230032
51004334121241
641051450330
76165042420
oct1706575416
9578771650
10253426446
11120064049
1270a569a6
13406721a0
142592c810
15173ae4b6
hexf1afb0e

253426446 has 192 divisors, whose sum is σ = 754790400. Its totient is φ = 59470848.

The previous prime is 253426421. The next prime is 253426493. The reversal of 253426446 is 644624352.

253426446 is a `hidden beast` number, since 2 + 5 + 3 + 4 + 2 + 644 + 6 = 666.

Its product of digits (138240) is a multiple of the sum of its prime divisors (540).

It is a self number, because there is not a number n which added to its sum of digits gives 253426446.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 528835 + ... + 529313.

It is an arithmetic number, because the mean of its divisors is an integer number (3931200).

Almost surely, 2253426446 is an apocalyptic number.

253426446 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 253426446, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377395200).

253426446 is an abundant number, since it is smaller than the sum of its proper divisors (501363954).

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

253426446 is a wasteful number, since it uses less digits than its factorization.

253426446 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 543 (or 540 counting only the distinct ones).

The product of its digits is 138240, while the sum is 36.

The square root of 253426446 is about 15919.3732916846. The cubic root of 253426446 is about 632.8255098816.

The spelling of 253426446 in words is "two hundred fifty-three million, four hundred twenty-six thousand, four hundred forty-six".