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4892969088 = 2732742961
BaseRepresentation
bin1001000111010010…
…01100100010000000
3110121222222120202100
410203221030202000
540010100002323
62125305150400
7232152360000
oct44351144200
913558876670
104892969088
112090a54107
12b4678b400
135cc925aa7
14345ba0000
151d9863943
hex123a4c880

4892969088 has 480 divisors, whose sum is σ = 17270685900. Its totient is φ = 1327656960.

The previous prime is 4892969077. The next prime is 4892969089. The reversal of 4892969088 is 8809692984.

It can be written as a sum of positive squares in 2 ways, for example, as 4493289024 + 399680064 = 67032^2 + 19992^2 .

It is a super-2 number, since 2×48929690882 = 47882292992247103488, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (4892969089) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 80212578 + ... + 80212638.

Almost surely, 24892969088 is an apocalyptic number.

4892969088 is a gapful number since it is divisible by the number (48) 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 4892969088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8635342950).

4892969088 is an abundant number, since it is smaller than the sum of its proper divisors (12377716812).

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

4892969088 is an equidigital number, since it uses as much as digits as its factorization.

4892969088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 17915904, while the sum is 63.

The square root of 4892969088 is about 69949.7611718582. The cubic root of 4892969088 is about 1697.6864825064.

The spelling of 4892969088 in words is "four billion, eight hundred ninety-two million, nine hundred sixty-nine thousand, eighty-eight".