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426745152 = 26331773199
BaseRepresentation
bin11001011011111…
…001110101000000
31002201222220022000
4121123321311000
51333221321102
6110202344000
713401162651
oct3133716500
91081886260
10426745152
111a9982a49
12baabb000
136a546c32
1440967528
15276e801c
hex196f9d40

426745152 has 224 divisors, whose sum is σ = 1353312000. Its totient is φ = 131383296.

The previous prime is 426745147. The next prime is 426745153. The reversal of 426745152 is 251547624.

It is a happy number.

It is a super-2 number, since 2×4267451522 = 364222849511006208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (426745153) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2144349 + ... + 2144547.

Almost surely, 2426745152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 426745152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (676656000).

426745152 is an abundant number, since it is smaller than the sum of its proper divisors (926566848).

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

426745152 is a wasteful number, since it uses less digits than its factorization.

426745152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 294 counting only the distinct ones).

The product of its digits is 67200, while the sum is 36.

The square root of 426745152 is about 20657.8109198434. The cubic root of 426745152 is about 752.8749812287.

The spelling of 426745152 in words is "four hundred twenty-six million, seven hundred forty-five thousand, one hundred fifty-two".