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1425022400 = 26521098171
BaseRepresentation
bin101010011110000…
…0001110111000000
310200022102122020102
41110330001313000
510404301204100
6353223101532
750212330154
oct12474016700
93608378212
101425022400
1167142a46a
123392a18a8
131992ccc29
14d7387064
1585188cd5
hex54f01dc0

1425022400 has 84 divisors (see below), whose sum is σ = 3539048040. Its totient is φ = 564710400.

The previous prime is 1425022393. The next prime is 1425022411. The reversal of 1425022400 is 42205241.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 170315 + ... + 178485.

Almost surely, 21425022400 is an apocalyptic number.

1425022400 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 1425022400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1769524020).

1425022400 is an abundant number, since it is smaller than the sum of its proper divisors (2114025640).

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

1425022400 is a wasteful number, since it uses less digits than its factorization.

1425022400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8302 (or 8287 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The square root of 1425022400 is about 37749.4688704358. The cubic root of 1425022400 is about 1125.3144536613.

Adding to 1425022400 its reverse (42205241), we get a palindrome (1467227641).

The spelling of 1425022400 in words is "one billion, four hundred twenty-five million, twenty-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 109 160 200 218 320 400 436 545 800 872 1090 1600 1744 2180 2725 3488 4360 5450 6976 8171 8720 10900 16342 17440 21800 32684 34880 40855 43600 65368 81710 87200 130736 163420 174400 204275 261472 326840 408550 522944 653680 817100 890639 1307360 1634200 1781278 2614720 3268400 3562556 4453195 6536800 7125112 8906390 13073600 14250224 17812780 22265975 28500448 35625560 44531950 57000896 71251120 89063900 142502240 178127800 285004480 356255600 712511200 1425022400