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4729497248 = 257229104009
BaseRepresentation
bin1000110011110011…
…00110011010100000
3110012121101100112202
410121321212122200
534141222402443
62101145312332
7225126030500
oct43171463240
913177340482
104729497248
112007750313
12abba956a8
135a4abaca8
1432c1a9a00
151ca3227b8
hex119e666a0

4729497248 has 72 divisors (see below), whose sum is σ = 11204997300. Its totient is φ = 1957014528.

The previous prime is 4729497137. The next prime is 4729497251. The reversal of 4729497248 is 8427949274.

It can be written as a sum of positive squares in 2 ways, for example, as 4407366544 + 322130704 = 66388^2 + 17948^2 .

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a junction number, because it is equal to n+sod(n) for n = 4729497193 and 4729497202.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6533 + ... + 97476.

Almost surely, 24729497248 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 4729497248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5602498650).

4729497248 is an abundant number, since it is smaller than the sum of its proper divisors (6475500052).

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

4729497248 is a wasteful number, since it uses less digits than its factorization.

4729497248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104062 (or 104047 counting only the distinct ones).

The product of its digits is 8128512, while the sum is 56.

The square root of 4729497248 is about 68771.3403097540. The cubic root of 4729497248 is about 1678.5656275430.

The spelling of 4729497248 in words is "four billion, seven hundred twenty-nine million, four hundred ninety-seven thousand, two hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 28 29 32 49 56 58 98 112 116 196 203 224 232 392 406 464 784 812 928 1421 1568 1624 2842 3248 5684 6496 11368 22736 45472 104009 208018 416036 728063 832072 1456126 1664144 2912252 3016261 3328288 5096441 5824504 6032522 10192882 11649008 12065044 20385764 21113827 23298016 24130088 40771528 42227654 48260176 81543056 84455308 96520352 147796789 163086112 168910616 295593578 337821232 591187156 675642464 1182374312 2364748624 4729497248