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1426450368 = 26372316773
BaseRepresentation
bin101010100000101…
…1110011111000000
310200102010012001010
41111001132133000
510410132402433
6353313440520
750230425300
oct12501363700
93612105033
101426450368
11672215302
12339870140
131996acb95
14d7639600
158536be63
hex5505e7c0

1426450368 has 336 divisors, whose sum is σ = 4662610944. Its totient is φ = 383201280.

The previous prime is 1426450343. The next prime is 1426450369. The reversal of 1426450368 is 8630546241.

It is a tau number, because it is divible by the number of its divisors (336).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1426450369) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19540380 + ... + 19540452.

Almost surely, 21426450368 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 1426450368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2331305472).

1426450368 is an abundant number, since it is smaller than the sum of its proper divisors (3236160576).

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

1426450368 is a wasteful number, since it uses less digits than its factorization.

1426450368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

The square root of 1426450368 is about 37768.3778841507. The cubic root of 1426450368 is about 1125.6902083590.

The spelling of 1426450368 in words is "one billion, four hundred twenty-six million, four hundred fifty thousand, three hundred sixty-eight".