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426925800 = 2332527311093
BaseRepresentation
bin11001011100100…
…101111011101000
31002202100002002200
4121130211323220
51333243111200
6110210300200
713402544430
oct3134457350
91082302080
10426925800
111a9a96744
12bab87660
136a5ab222
14409b32c0
1527731800
hex19725ee8

426925800 has 288 divisors, whose sum is σ = 1692986880. Its totient is φ = 94348800.

The previous prime is 426925799. The next prime is 426925817. The reversal of 426925800 is 8529624.

It is a happy number.

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 polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 390054 + ... + 391146.

Almost surely, 2426925800 is an apocalyptic number.

426925800 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 426925800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (846493440).

426925800 is an abundant number, since it is smaller than the sum of its proper divisors (1266061080).

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

426925800 is a wasteful number, since it uses less digits than its factorization.

426925800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1153 (or 1141 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 426925800 is about 20662.1828469308. The cubic root of 426925800 is about 752.9812008873.

The spelling of 426925800 in words is "four hundred twenty-six million, nine hundred twenty-five thousand, eight hundred".