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425993800 = 235210919541
BaseRepresentation
bin11001011001000…
…010011001001000
31002200120201122011
4121121002121020
51333023300200
6110134305304
713361613301
oct3131023110
91080521564
10425993800
111a950a4a1
12ba7b8234
136a342c4b
144080d7a8
15275ea5ba
hex19642648

425993800 has 48 divisors (see below), whose sum is σ = 999573300. Its totient is φ = 168825600.

The previous prime is 425993797. The next prime is 425993809. The reversal of 425993800 is 8399524.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 140991876 + 285001924 = 11874^2 + 16882^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (425993809) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 12030 + ... + 31570.

Almost surely, 2425993800 is an apocalyptic number.

425993800 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 425993800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499786650).

425993800 is an abundant number, since it is smaller than the sum of its proper divisors (573579500).

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

425993800 is a wasteful number, since it uses less digits than its factorization.

425993800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19666 (or 19657 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 40.

The square root of 425993800 is about 20639.6172445130. The cubic root of 425993800 is about 752.4328700284.

The spelling of 425993800 in words is "four hundred twenty-five million, nine hundred ninety-three thousand, eight hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 109 200 218 436 545 872 1090 2180 2725 4360 5450 10900 19541 21800 39082 78164 97705 156328 195410 390820 488525 781640 977050 1954100 2129969 3908200 4259938 8519876 10649845 17039752 21299690 42599380 53249225 85198760 106498450 212996900 425993800