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490529424 = 2437111737211
BaseRepresentation
bin11101001111001…
…110001010010000
31021012000110212110
4131033032022100
52001033420144
6120401425320
715104300640
oct3517161220
91235013773
10490529424
11231989020
1211833b240
137a81a4c8
144920c520
152d0e70b9
hex1d3ce290

490529424 has 320 divisors, whose sum is σ = 1726175232. Its totient is φ = 116121600.

The previous prime is 490529411. The next prime is 490529443. The reversal of 490529424 is 424925094.

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, 2324679 + ... + 2324889.

Almost surely, 2490529424 is an apocalyptic number.

490529424 is a gapful number since it is divisible by the number (44) 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 490529424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (863087616).

490529424 is an abundant number, since it is smaller than the sum of its proper divisors (1235645808).

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

490529424 is a wasteful number, since it uses less digits than its factorization.

490529424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The square root of 490529424 is about 22147.8988619688. The cubic root of 490529424 is about 788.6573487111.

The spelling of 490529424 in words is "four hundred ninety million, five hundred twenty-nine thousand, four hundred twenty-four".