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490882140 = 223357177639
BaseRepresentation
bin11101010000100…
…100010001011100
31021012200101201000
4131100210101130
52001131212030
6120413150300
715110300160
oct3520442134
91235611630
10490882140
112320aa021
1211848b390
137a911c08
14492a0ca0
152d166860
hex1d42445c

490882140 has 192 divisors, whose sum is σ = 1848268800. Its totient is φ = 105587712.

The previous prime is 490882127. The next prime is 490882187. The reversal of 490882140 is 41288094.

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

It is a junction number, because it is equal to n+sod(n) for n = 490882095 and 490882104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 60441 + ... + 68079.

It is an arithmetic number, because the mean of its divisors is an integer number (9626400).

Almost surely, 2490882140 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 490882140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (924134400).

490882140 is an abundant number, since it is smaller than the sum of its proper divisors (1357386660).

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

490882140 is a wasteful number, since it uses less digits than its factorization.

490882140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7681 (or 7673 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 490882140 is about 22155.8601728753. The cubic root of 490882140 is about 788.8463318825.

The spelling of 490882140 in words is "four hundred ninety million, eight hundred eighty-two thousand, one hundred forty".