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1425267900 = 2237527319
BaseRepresentation
bin101010011110011…
…1101110010111100
310200022220010000000
41110330331302330
510404332033100
6353232234300
750214402000
oct12474756274
93608803000
101425267900
11671587961
1233939b990
131993878b4
14d740c700
15851d6900
hex54f3dcbc

1425267900 has 576 divisors, whose sum is σ = 5694080000. Its totient is φ = 308629440.

The previous prime is 1425267869. The next prime is 1425267911. The reversal of 1425267900 is 97625241.

1425267900 is a `hidden beast` number, since 1 + 42 + 526 + 7 + 90 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 75014091 + ... + 75014109.

Almost surely, 21425267900 is an apocalyptic number.

1425267900 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 1425267900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2847040000).

1425267900 is an abundant number, since it is smaller than the sum of its proper divisors (4268812100).

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

1425267900 is an equidigital number, since it uses as much as digits as its factorization.

1425267900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 1425267900 is about 37752.7204317782. The cubic root of 1425267900 is about 1125.3790722561.

It can be divided in two parts, 142526 and 7900, that added together give a triangular number (150426 = T548).

The spelling of 1425267900 in words is "one billion, four hundred twenty-five million, two hundred sixty-seven thousand, nine hundred".