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425155200 = 2735267661
BaseRepresentation
bin11001010101110…
…101101010000000
31002122000010021220
4121111311222000
51332314431300
6110104315040
713351521351
oct3125655200
91078003256
10425155200
111a8a97438
12ba472a80
136a10b332
1440671d28
15274d1da0
hex19575a80

425155200 has 192 divisors, whose sum is σ = 1423405920. Its totient is φ = 111513600.

The previous prime is 425155189. The next prime is 425155223. The reversal of 425155200 is 2551524.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (24).

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 23 ways as a sum of consecutive naturals, for example, 642870 + ... + 643530.

Almost surely, 2425155200 is an apocalyptic number.

425155200 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 425155200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (711702960).

425155200 is an abundant number, since it is smaller than the sum of its proper divisors (998250720).

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

425155200 is a wasteful number, since it uses less digits than its factorization.

425155200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 755 (or 738 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 24.

The square root of 425155200 is about 20619.2919374066. The cubic root of 425155200 is about 751.9388059455.

The spelling of 425155200 in words is "four hundred twenty-five million, one hundred fifty-five thousand, two hundred".