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425947200 = 26352721811
BaseRepresentation
bin11001011000110…
…111000001000000
31002200111100201020
4121120313001000
51333020302300
6110133305440
713361330400
oct3130670100
91080440636
10425947200
111a9488488
12ba795280
136a327983
14407da800
15275db8a0
hex19637040

425947200 has 252 divisors, whose sum is σ = 1626516432. Its totient is φ = 97305600.

The previous prime is 425947183. The next prime is 425947211. The reversal of 425947200 is 2749524.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 234295 + ... + 236105.

Almost surely, 2425947200 is an apocalyptic number.

425947200 is a gapful number since it is divisible by the number (40) 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 425947200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (813258216).

425947200 is an abundant number, since it is smaller than the sum of its proper divisors (1200569232).

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

425947200 is a wasteful number, since it uses less digits than its factorization.

425947200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1850 (or 1828 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 425947200 is about 20638.4883167348. The cubic root of 425947200 is about 752.4054325004.

It can be divided in two parts, 42594 and 7200, that added together give a palindrome (49794).

The spelling of 425947200 in words is "four hundred twenty-five million, nine hundred forty-seven thousand, two hundred".