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490519504 = 24192935507
BaseRepresentation
bin11101001111001…
…011101111010000
31021011222222021001
4131033023233100
52001033111004
6120401311344
715104230006
oct3517135720
91234888231
10490519504
11231981622
12118335554
137a815b37
1449208a76
152d0e41a4
hex1d3cbbd0

490519504 has 40 divisors (see below), whose sum is σ = 1003998240. Its totient is φ = 231516288.

The previous prime is 490519499. The next prime is 490519517. The reversal of 490519504 is 405915094.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 86319 + ... + 91825.

It is an arithmetic number, because the mean of its divisors is an integer number (25099956).

Almost surely, 2490519504 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 490519504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (501999120).

490519504 is an abundant number, since it is smaller than the sum of its proper divisors (513478736).

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

490519504 is a wasteful number, since it uses less digits than its factorization.

490519504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5827 (or 5821 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 37.

The square root of 490519504 is about 22147.6749118277. The cubic root of 490519504 is about 788.6520323235.

The spelling of 490519504 in words is "four hundred ninety million, five hundred nineteen thousand, five hundred four".

Divisors: 1 2 4 8 16 19 38 76 152 293 304 586 1172 2344 4688 5507 5567 11014 11134 22028 22268 44056 44536 88112 89072 104633 209266 418532 837064 1613551 1674128 3227102 6454204 12908408 25816816 30657469 61314938 122629876 245259752 490519504