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426982500 = 22325472711
BaseRepresentation
bin11001011100110…
…011110001100100
31002202102221212200
4121130303301210
51333301420000
6110211414500
713403201640
oct3134636144
91082387780
10426982500
111aa0252aa
12babb4430
136a5cac89
14409c9c20
1527743500
hex19733c64

426982500 has 180 divisors, whose sum is σ = 1541956416. Its totient is φ = 97560000.

The previous prime is 426982471. The next prime is 426982529. The reversal of 426982500 is 5289624.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (426982471) and next prime (426982529).

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-3 number, since 3×4269825003 (a number of 27 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 156145 + ... + 158855.

Almost surely, 2426982500 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 426982500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (770978208).

426982500 is an abundant number, since it is smaller than the sum of its proper divisors (1114973916).

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

426982500 is a wasteful number, since it uses less digits than its factorization.

426982500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2748 (or 2728 counting only the distinct ones).

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

The square root of 426982500 is about 20663.5548732545. The cubic root of 426982500 is about 753.0145338803.

The spelling of 426982500 in words is "four hundred twenty-six million, nine hundred eighty-two thousand, five hundred".