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490442040 = 23365112139
BaseRepresentation
bin11101001110111…
…000110100111000
31021011212001000000
4131032320310320
52001023121130
6120355513000
715103455114
oct3516706470
91234761000
10490442040
11231929400
121182b8760
137a7b97ba
14491c8744
152d0cb260
hex1d3b8d38

490442040 has 336 divisors, whose sum is σ = 1831649400. Its totient is φ = 118039680.

The previous prime is 490442023. The next prime is 490442063. The reversal of 490442040 is 40244094.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 490441995 and 490442013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 3528291 + ... + 3528429.

Almost surely, 2490442040 is an apocalyptic number.

490442040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 490442040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (915824700).

490442040 is an abundant number, since it is smaller than the sum of its proper divisors (1341207360).

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

490442040 is a wasteful number, since it uses less digits than its factorization.

490442040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 490442040 is about 22145.9260361810. The cubic root of 490442040 is about 788.6105148733.

The spelling of 490442040 in words is "four hundred ninety million, four hundred forty-two thousand, forty".