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5795004384 = 253413229751
BaseRepresentation
bin1010110010110100…
…01011111111100000
3112221212022201120000
411121122023333200
543332010120014
62355011020000
7263414503341
oct53132137740
915855281500
105795004384
112504146624
12115889a600
137147829a0
143cd8ca0c8
1523db43509
hex15968bfe0

5795004384 has 240 divisors, whose sum is σ = 18458637120. Its totient is φ = 1772928000.

The previous prime is 5795004359. The next prime is 5795004443. The reversal of 5795004384 is 4834005975.

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, 7716009 + ... + 7716759.

It is an arithmetic number, because the mean of its divisors is an integer number (76910988).

Almost surely, 25795004384 is an apocalyptic number.

5795004384 is a gapful number since it is divisible by the number (54) 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 5795004384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9229318560).

5795004384 is an abundant number, since it is smaller than the sum of its proper divisors (12663632736).

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

5795004384 is a wasteful number, since it uses less digits than its factorization.

5795004384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1015 (or 998 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The square root of 5795004384 is about 76124.9261674519. The cubic root of 5795004384 is about 1796.1857900435.

The spelling of 5795004384 in words is "five billion, seven hundred ninety-five million, four thousand, three hundred eighty-four".