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1425427200 = 28335273113
BaseRepresentation
bin101010011110110…
…0100101100000000
310200100012012112000
41110331210230000
510404402132300
6353235504000
750215634301
oct12475445400
93610165460
101425427200
1167168660a
12339458000
13199412262
14d74507a8
1585218c00
hex54f64b00

1425427200 has 432 divisors, whose sum is σ = 5345387040. Its totient is φ = 371589120.

The previous prime is 1425427193. The next prime is 1425427207. The reversal of 1425427200 is 27245241.

1425427200 is a `hidden beast` number, since 14 + 25 + 427 + 200 = 666.

It is an interprime number because it is at equal distance from previous prime (1425427193) and next prime (1425427207).

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1425427207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12614344 + ... + 12614456.

Almost surely, 21425427200 is an apocalyptic number.

1425427200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1425427200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2672693520).

1425427200 is an abundant number, since it is smaller than the sum of its proper divisors (3919959840).

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

1425427200 is a wasteful number, since it uses less digits than its factorization.

1425427200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

The square root of 1425427200 is about 37754.8301545643. The cubic root of 1425427200 is about 1125.4209979899.

The spelling of 1425427200 in words is "one billion, four hundred twenty-five million, four hundred twenty-seven thousand, two hundred".