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2042498304 = 283271129397
BaseRepresentation
bin111100110111110…
…0000110100000000
312021100022122221100
41321233200310000
513140334421204
6534401454400
7101420643360
oct17157406400
95240278840
102042498304
11958a34230
12490041400
132672070a2
1415539c9a0
15be4a9a39
hex79be0d00

2042498304 has 432 divisors, whose sum is σ = 7614472320. Its totient is φ = 510935040.

The previous prime is 2042498299. The next prime is 2042498327. The reversal of 2042498304 is 4038942402.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5144634 + ... + 5145030.

Almost surely, 22042498304 is an apocalyptic number.

2042498304 is a gapful number since it is divisible by the number (24) 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 2042498304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3807236160).

2042498304 is an abundant number, since it is smaller than the sum of its proper divisors (5571974016).

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

2042498304 is a wasteful number, since it uses less digits than its factorization.

2042498304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 2042498304 is about 45194.0073903609. The cubic root of 2042498304 is about 1268.7826605714.

The spelling of 2042498304 in words is "two billion, forty-two million, four hundred ninety-eight thousand, three hundred four".