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4262949000 = 23355353331
BaseRepresentation
bin1111111000010111…
…0111000010001000
3102000002111020200000
43332011313002020
532212303332000
61543001443000
7210432316512
oct37605670210
912002436600
104262949000
111898361752
129ab7a0460
1352c24903b
142c6240bb2
1519e3b6000
hexfe177088

4262949000 has 384 divisors, whose sum is σ = 15270353280. Its totient is φ = 1111968000.

The previous prime is 4262948999. The next prime is 4262949001. The reversal of 4262949000 is 9492624.

4262949000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4262948999) and next prime (4262949001).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4262949001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12878835 + ... + 12879165.

It is an arithmetic number, because the mean of its divisors is an integer number (39766545).

Almost surely, 24262949000 is an apocalyptic number.

4262949000 is a gapful number since it is divisible by the number (40) 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 4262949000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7635176640).

4262949000 is an abundant number, since it is smaller than the sum of its proper divisors (11007404280).

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

4262949000 is a wasteful number, since it uses less digits than its factorization.

4262949000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 4262949000 is about 65291.2628151731. The cubic root of 4262949000 is about 1621.4493202743.

The spelling of 4262949000 in words is "four billion, two hundred sixty-two million, nine hundred forty-nine thousand".