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2530749312 = 27337132619
BaseRepresentation
bin1001011011011000…
…0010101110000000
320112101001101102000
42112312002232000
520140332434222
61055042424000
7116500004610
oct22666025600
96471041360
102530749312
1110895a6463
125a7662000
13314407500
141a0176a40
15ec2a19ac
hex96d82b80

2530749312 has 384 divisors, whose sum is σ = 9258336000. Its totient is φ = 666372096.

The previous prime is 2530749257. The next prime is 2530749329. The reversal of 2530749312 is 2139470352.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4088139 + ... + 4088757.

It is an arithmetic number, because the mean of its divisors is an integer number (24110250).

Almost surely, 22530749312 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 2530749312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4629168000).

2530749312 is an abundant number, since it is smaller than the sum of its proper divisors (6727586688).

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

2530749312 is a wasteful number, since it uses less digits than its factorization.

2530749312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 675 (or 644 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 2530749312 is about 50306.5533703115. The cubic root of 2530749312 is about 1362.7505808740.

The spelling of 2530749312 in words is "two billion, five hundred thirty million, seven hundred forty-nine thousand, three hundred twelve".