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4265657344 = 2101321572
BaseRepresentation
bin1111111001000000…
…1100010000000000
3102000021120211211001
43332100030100000
532214002013334
61543135501344
7210464326534
oct37620142000
912007524731
104265657344
111899941553
129b0687854
1352c986a00
142c6747bc4
1519e74d714
hexfe40c400

4265657344 has 99 divisors (see below), whose sum is σ = 9292727007. Its totient is φ = 1956225024.

The previous prime is 4265657329. The next prime is 4265657371. The reversal of 4265657344 is 4437565624.

The square root of 4265657344 is 65312.

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 1375519744 + 2890137600 = 37088^2 + 53760^2 .

It is a super-2 number, since 2×42656573442 = 36391665152842268672, which contains 22 as substring.

It is a Duffinian number.

Its product of digits (2419200) is a multiple of the sum of its prime factors (360).

It is a junction number, because it is equal to n+sod(n) for n = 4265657294 and 4265657303.

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 27169714 + ... + 27169870.

Almost surely, 24265657344 is an apocalyptic number.

4265657344 is the 65312-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4265657344

4265657344 is an abundant number, since it is smaller than the sum of its proper divisors (5027069663).

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

4265657344 is an equidigital number, since it uses as much as digits as its factorization.

4265657344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360 (or 172 counting only the distinct ones).

The product of its digits is 2419200, while the sum is 46.

The cubic root of 4265657344 is about 1621.7926282264.

It can be divided in two parts, 42656 and 57344, that added together give a 5-th power (100000 = 105).

The spelling of 4265657344 in words is "four billion, two hundred sixty-five million, six hundred fifty-seven thousand, three hundred forty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 157 169 208 256 314 338 416 512 628 676 832 1024 1256 1352 1664 2041 2512 2704 3328 4082 5024 5408 6656 8164 10048 10816 13312 16328 20096 21632 24649 26533 32656 40192 43264 49298 53066 65312 80384 86528 98596 106132 130624 160768 173056 197192 212264 261248 320437 394384 424528 522496 640874 788768 849056 1044992 1281748 1577536 1698112 2089984 2563496 3155072 3396224 4165681 5126992 6310144 6792448 8331362 10253984 12620288 13584896 16662724 20507968 25240576 27169792 33325448 41015936 66650896 82031872 133301792 164063744 266603584 328127488 533207168 1066414336 2132828672 4265657344