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5834903040 = 29345191481
BaseRepresentation
bin1010110111100100…
…11000111000000000
3120001122101210020000
411123302120320000
543422213344130
62402554120000
7264410600061
oct53362307000
916048353200
105834903040
11252471801a
12116a120000
1371cb12365
143d4d14568
152423c5260
hex15bc98e00

5834903040 has 400 divisors, whose sum is σ = 22013568720. Its totient is φ = 1473085440.

The previous prime is 5834903029. The next prime is 5834903141. The reversal of 5834903040 is 403094385.

5834903040 is a `hidden beast` number, since 5 + 8 + 349 + 0 + 304 + 0 = 666.

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 = 5834902986 and 5834903004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3939100 + ... + 3940580.

Almost surely, 25834903040 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 5834903040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11006784360).

5834903040 is an abundant number, since it is smaller than the sum of its proper divisors (16178665680).

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

5834903040 is a wasteful number, since it uses less digits than its factorization.

5834903040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1535 (or 1510 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 5834903040 is about 76386.5370336946. The cubic root of 5834903040 is about 1800.2986171238.

The spelling of 5834903040 in words is "five billion, eight hundred thirty-four million, nine hundred three thousand, forty".