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2754493000 = 235371779293
BaseRepresentation
bin1010010000101110…
…0011101001001000
321002222001202001021
42210023203221020
521120122234000
61133154202224
7125154542560
oct24413435110
97088052037
102754493000
1111939263a6
1264a583374
1334b885c1c
141c1b79da0
15111c4b11a
hexa42e3a48

2754493000 has 256 divisors, whose sum is σ = 7925299200. Its totient is φ = 874598400.

The previous prime is 2754492997. The next prime is 2754493031. The reversal of 2754493000 is 3944572.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9400854 + ... + 9401146.

It is an arithmetic number, because the mean of its divisors is an integer number (30958200).

Almost surely, 22754493000 is an apocalyptic number.

2754493000 is a gapful number since it is divisible by the number (20) 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 2754493000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3962649600).

2754493000 is an abundant number, since it is smaller than the sum of its proper divisors (5170806200).

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

2754493000 is a wasteful number, since it uses less digits than its factorization.

2754493000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 34.

The square root of 2754493000 is about 52483.2639991074. The cubic root of 2754493000 is about 1401.7822539687.

The spelling of 2754493000 in words is "two billion, seven hundred fifty-four million, four hundred ninety-three thousand".