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490028128 = 25176114767
BaseRepresentation
bin11101001101010…
…011110001100000
31021011002000012221
4131031103301200
52000421400003
6120343000424
715100112302
oct3515236140
91234060187
10490028128
11231676427
12118139114
137a6a3295
144911b972
152d0487bd
hex1d353c60

490028128 has 48 divisors (see below), whose sum is σ = 1038308544. Its totient is φ = 226805760.

The previous prime is 490028117. The next prime is 490028137. The reversal of 490028128 is 821820094.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 490028093 and 490028102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25801 + ... + 40567.

It is an arithmetic number, because the mean of its divisors is an integer number (21631428).

Almost surely, 2490028128 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 490028128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (519154272).

490028128 is an abundant number, since it is smaller than the sum of its proper divisors (548280416).

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

490028128 is a wasteful number, since it uses less digits than its factorization.

490028128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14855 (or 14847 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 34.

The square root of 490028128 is about 22136.5789588184. The cubic root of 490028128 is about 788.3886013078.

The spelling of 490028128 in words is "four hundred ninety million, twenty-eight thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 16 17 32 34 61 68 122 136 244 272 488 544 976 1037 1952 2074 4148 8296 14767 16592 29534 33184 59068 118136 236272 251039 472544 502078 900787 1004156 1801574 2008312 3603148 4016624 7206296 8033248 14412592 15313379 28825184 30626758 61253516 122507032 245014064 490028128