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426900672 = 26331137607
BaseRepresentation
bin11001011100011…
…111110011000000
31002202021210122000
4121130133303000
51333241310142
6110205544000
713402411242
oct3134376300
91082253560
10426900672
111a9a79880
12bab75000
136a59c963
14409a8092
152772914c
hex1971fcc0

426900672 has 224 divisors, whose sum is σ = 1408419840. Its totient is φ = 125660160.

The previous prime is 426900667. The next prime is 426900697. The reversal of 426900672 is 276009624.

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 31 ways as a sum of consecutive naturals, for example, 702993 + ... + 703599.

Almost surely, 2426900672 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 426900672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (704209920).

426900672 is an abundant number, since it is smaller than the sum of its proper divisors (981519168).

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

426900672 is a wasteful number, since it uses less digits than its factorization.

426900672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 676 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 426900672 is about 20661.5747705735. The cubic root of 426900672 is about 752.9664276075.

The spelling of 426900672 in words is "four hundred twenty-six million, nine hundred thousand, six hundred seventy-two".