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4992230880 = 253557131783
BaseRepresentation
bin1001010011000111…
…10110010111100000
3110212220202121100000
410221203312113200
540211002342010
62143212500000
7234466155660
oct45143662740
913786677300
104992230880
112131a90a4a
12b73a7a600
1361736b590
1435503c1a0
151e341e7c0
hex1298f65e0

4992230880 has 1152 divisors, whose sum is σ = 23300379648. Its totient is φ = 979402752.

The previous prime is 4992230869. The next prime is 4992230909. The reversal of 4992230880 is 880322994.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 60147319 + ... + 60147401.

It is an arithmetic number, because the mean of its divisors is an integer number (20226024).

Almost surely, 24992230880 is an apocalyptic number.

4992230880 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 4992230880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11650189824).

4992230880 is an abundant number, since it is smaller than the sum of its proper divisors (18308148768).

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

4992230880 is a wasteful number, since it uses less digits than its factorization.

4992230880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 4992230880 is about 70655.7207874918. The cubic root of 4992230880 is about 1709.0898203348.

The spelling of 4992230880 in words is "four billion, nine hundred ninety-two million, two hundred thirty thousand, eight hundred eighty".