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2756007384 = 2331322331953
BaseRepresentation
bin1010010001000101…
…0101010111011000
321010001220200101120
42210101111113120
521121014214014
61133250445240
7125203450644
oct24421252730
97101820346
102756007384
111194770159
1264ab93820
1334bc96300
141c2051c24
15111e49ba9
hexa44555d8

2756007384 has 192 divisors, whose sum is σ = 8044738560. Its totient is φ = 784143360.

The previous prime is 2756007341. The next prime is 2756007403. The reversal of 2756007384 is 4837006572.

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, 2891452 + ... + 2892404.

It is an arithmetic number, because the mean of its divisors is an integer number (41899680).

Almost surely, 22756007384 is an apocalyptic number.

2756007384 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 2756007384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4022369280).

2756007384 is an abundant number, since it is smaller than the sum of its proper divisors (5288731176).

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

2756007384 is a wasteful number, since it uses less digits than its factorization.

2756007384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1042 (or 1025 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 42.

The square root of 2756007384 is about 52497.6893205787. The cubic root of 2756007384 is about 1402.0391007157.

The spelling of 2756007384 in words is "two billion, seven hundred fifty-six million, seven thousand, three hundred eighty-four".