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4469724736 = 266121372
BaseRepresentation
bin1000010100110101…
…01001011001000000
3102112111120112122121
410022122221121000
533123222142421
62015305414024
7215523014311
oct41232513100
912474515577
104469724736
111994052394
12a48a9a314
13563036449
143058a8608
151b260cd41
hex10a6a9640

4469724736 has 63 divisors (see below), whose sum is σ = 9083697987. Its totient is φ = 2182179840.

The previous prime is 4469724733. The next prime is 4469724761. The reversal of 4469724736 is 6374279644.

The square root of 4469724736 is 66856.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 1089000000 + 3380724736 = 33000^2 + 58144^2 .

It is a super-2 number, since 2×44697247362 = 39956878431220539392, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4469724733) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 32625660 + ... + 32625796.

Almost surely, 24469724736 is an apocalyptic number.

4469724736 is the 66856-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4469724736

4469724736 is an abundant number, since it is smaller than the sum of its proper divisors (4613973251).

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

4469724736 is an frugal number, since it uses more digits than its factorization.

4469724736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 200 counting only the distinct ones).

The product of its digits is 6096384, while the sum is 52.

The cubic root of 4469724736 is about 1647.2528189857.

The spelling of 4469724736 in words is "four billion, four hundred sixty-nine million, seven hundred twenty-four thousand, seven hundred thirty-six".

Divisors: 1 2 4 8 16 32 61 64 122 137 244 274 488 548 976 1096 1952 2192 3721 3904 4384 7442 8357 8768 14884 16714 18769 29768 33428 37538 59536 66856 75076 119072 133712 150152 238144 267424 300304 509777 534848 600608 1019554 1144909 1201216 2039108 2289818 4078216 4579636 8156432 9159272 16312864 18318544 32625728 36637088 69839449 73274176 139678898 279357796 558715592 1117431184 2234862368 4469724736