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426789090 = 232571331412
BaseRepresentation
bin11001011100000…
…100100011100010
31002202002010120100
4121130010203202
51333224222330
6110203323230
713401435030
oct3134044342
91082063510
10426789090
111a9a02a62
12bab20516
136a560c30
1440979550
1527706060
hex197048e2

426789090 has 288 divisors, whose sum is σ = 1445004288. Its totient is φ = 85017600.

The previous prime is 426789089. The next prime is 426789107. The reversal of 426789090 is 90987624.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 10409470 + ... + 10409510.

It is an arithmetic number, because the mean of its divisors is an integer number (5017376).

Almost surely, 2426789090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 426789090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (722502144).

426789090 is an abundant number, since it is smaller than the sum of its proper divisors (1018215198).

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

426789090 is a wasteful number, since it uses less digits than its factorization.

426789090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 426789090 is about 20658.8743643017. The cubic root of 426789090 is about 752.9008191990.

The spelling of 426789090 in words is "four hundred twenty-six million, seven hundred eighty-nine thousand, ninety".