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4684248320 = 28519132
BaseRepresentation
bin1000101110011001…
…11111010100000000
3110002110020110200112
410113030333110000
534043131421240
62052451410452
7224036311433
oct42714772400
913073213615
104684248320
111a94155104
12aa88b3a28
1359860728b
1432618b81a
151c6385665
hex11733f500

4684248320 has 54 divisors (see below), whose sum is σ = 11226106878. Its totient is φ = 1872719872.

The previous prime is 4684248313. The next prime is 4684248343. The reversal of 4684248320 is 238424864.

It can be written as a sum of positive squares in 3 ways, for example, as 2126316544 + 2557931776 = 46112^2 + 50576^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2447684 + ... + 2449596.

Almost surely, 24684248320 is an apocalyptic number.

4684248320 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 4684248320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5613053439).

4684248320 is an abundant number, since it is smaller than the sum of its proper divisors (6541858558).

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

4684248320 is an frugal number, since it uses more digits than its factorization.

4684248320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3847 (or 1920 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 41.

The square root of 4684248320 is about 68441.5686553136. The cubic root of 4684248320 is about 1673.1953022689.

The spelling of 4684248320 in words is "four billion, six hundred eighty-four million, two hundred forty-eight thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 640 1280 1913 3826 7652 9565 15304 19130 30608 38260 61216 76520 122432 153040 244864 306080 489728 612160 1224320 2448640 3659569 7319138 14638276 18297845 29276552 36595690 58553104 73191380 117106208 146382760 234212416 292765520 468424832 585531040 936849664 1171062080 2342124160 4684248320